Mathematics High School

Which functions are invertible? Select each correct answer. A coordinate graph with both horizontal and vertical axes ranging from negative 10 to 10 in increments of 2. A line is graphed with one end is in the first quadrant and the other end is in the third quadrant. The line passes through the x axis between 0 and negative 2 and it passes the y axis between 0 and 2. A coordinate graph with both x and y axes are ranging from negative 10 to 10 in increments of 2. A parabola is drawn facing down whose vertex is in the first quadrant and the parabola crosses the x axis at begin ordered pair 0 comma 0 end ordered pair and begin ordered pair 2 comma 0 end ordered pair. Parabola has arrows on both ends. An absolute value function graphed on a coordinate plane. The x and y axes range from negative 10 to 10 in increments of 2. The vertex is at begin ordered pair 0 comma negative 2 end ordered pair. The graph opens up and passes through begin ordered pair negative 2 comma 0 end ordered pair and begin ordered pair 2 comma 0 end ordered pair. Graph has arrows on both ends. Graph of a square root function on a coordinate plane. Both axes range from negative 10 to 10 in increments of 2. The curve begins at begin ordered pair 0 comma 0 end ordered pair. It increases from left to right and passes through begin ordered pair 4 comma 2 end ordered pair. Curve has an arrow on one end.

Answers

Answer 1

Using function concepts, it is found that:

Graph 1 (Left-top) is invertible.Graph 4(Bottom-right) is invertible.

A function f(x) has an inverse if, and only if:

[tex]f(a) = f(b) \leftrightarrow a = b[/tex]

That is, each value of the output y is associated with only one value of the input x.

In this problem:

In graphs 1(left-top) and 4(bottom-right), these conditions are respected, hence, they are invertible. In the parabola of graph 2(top-right), for example, y = 0 is associated with both x = 0 and x = 2, so it is not invertible.In the absolute value function is graph 3(bottom-left), for example, y = 0 is associated with both x = -2 and x = 2, so it is also not invertible.

To learn more about the use of graphs to verify if a function is invertible, you can take a look at https://brainly.com/question/13160937

Related Questions

What is an
equation of the line that passes through the point (-8, -1) and is
parallel to the line x– 4y = 4?

Answers

Answer:

y=1/4x + 1

Step-by-step explanation:

first equation,,y=1/4x - 1

G1 = G2

G2 = 1/4

y+1 /x+8 =1/4

4y = X + 8 -4

4y =x + 4

y = 1/4x + 1

Given the figure below, which statement correctly completes the following? ABE and HCD are what type of angles

Answers

Angles are classified based on their measures.

Classification of angles

The following are the classification of angles

Acute AnglesRight AnglesObtuse AnglesStraight linesReflex Angles

The smallest angle is 0 degrees and the largest is 360 degrees.

When the measure of an angle is less than 90 degrees, such angle is an acute angle

When the measure of an angle is exactly 90 degrees, such angle is a right angle

Angles greater than 90 degrees, but less than 180 degree are obtuse angles, while angles that measure exactly 180 degrees are straight lines.

The last type of angle is the reflex angle, and it has a measure between 180 degrees and 360 degrees (exclusive)

The question is incomplete, so I gave a general explanation

Answers

Answer:

Mr. Pham with 2/7

Step-by-step explanation:

2/7 = 0.286

1/4= 0.25

so 2/7 is ur correct answer.

A sandbox is a right rectangular prism
that is 6 ft long and 4 ft wide. The
sandbox can hold 48 ft of sand when
full. Lisa fills the sandboxfull of sand.
What is the height of the sand in the
sandbox?

Answers

4.6 Is the answer I thinkkkkk

Luis has $4.00 from his allowance. He visits an arcade where soda costs $0.75 and video games cost $0.25. Which of the following expressions represents the amount of money Luis will have left if he buys one soda and plays "g" video games? *
5 points
4.00 - 0.25 - 0.75g
4.00 + 0.75 + 0.25g
4.00 - 0.75 - 0.25g
4.00 - 0.25 + 0.75g

Answers

Answer: c

Step-by-step explanation:

PLZZ HELP

Order these numbers from least to greatest.

Answers

7.1 ,7.109 ,7.1091 ,7.19

7.1, 7.109, 7.1091, 7.19

Which expression is equivalent to 440d2 - 176d?

Answers

Answer:

expression equivalent is = 88d(5d-2)

12/15 =10/13 true or false

Answers

Answer:

False.

Step-by-step explanation:

What is the value of the digit in the ten thousands place?
16,985,717
A. 90,000
B. 8,000
C. 10,000,000
D. 80,000

Answers

Answer:

D. 80,000

Step-by-step explanation:

A tip might be to read the number outloud and then the answers to see the similarities.

Hope this is helpful :)

6x - 4y = 16 find the slope and y intercept

Answers

Answer: slope: 3/2

y-intercept: (0,-4)

Step-by-step explanation:

y=3/2x-4 is slope intercept form

Sarah works for 8 minutes and for every 8 minutes she gains 23 coins everytime she works and she is saving for 2,000 coins in total. How many hours will it take Sarah to get 2,000 coins?

Answers

Answer:

11.59 hours {Basically 12 hours]

Step-by-step explanation:

Sarah's coin rate is 23 coins/8 minutes, or 2.875 coins/minute

Rate * Time(X) = Coins

(2.875 coins/min)*(X) = 2000 coins

X = (2000 coins)/(2.875 coins/min)

X = 695.65 minutes

(695.65 minutes)*(1 hour/60minutes) = 11.59 hours

whats the slope of the line that passes through (3,-3) with the slope of 3?

Answers

Answer:

y=3x-12

Step-by-step explanation:

Assuming that you're asking what's the equation of the line that passes through (3, -3) with the slope of 3.

y-y1=m(x-x1)

y-(-3)=3(x-3)

y+3=3(x-3)

y=3x-9-3

y=3x-12

Use the SAS Postulate to prove triangle W X Y approximately equal to triangle W Z Y space i f space stack W Z with bar on top approximately equal to stack W X with bar on top space a n d space angle Z W Y approximately equal to angle X W Y.

Answers

In ∆WXY and ∆WZY,WX = WZ (given)Angle XWY = Angle ZWY (given)WY = WY (common)Therefore, by SAS congruency, ∆WXY is congruent to ∆WZY.

Hope you could get an idea from here.

Doubt clarification - use comment section.

Help please!! (The image is for all questions)
1. Complete the chart. Type your 3 responses.

2. Use 2 points from your chart to calculate the slope. formula: y2 - y1
x2 - x1

3. What would be the y intercept? (AKA the “0” number)

4. Use your answers to write an equation for this scenario in slope intercept form (AKA y = mx + b)

5. Use your formula to calculate how much water would be left in the pool after **6 hours**

Answers

Answer:

y-y=1 so the answer is 1 bro

Find the measures of x and y

Answers

Answer:

x = 65°y = 25°

Step-by-step explanation:

We can clearly see that 90 = x + 25. Let's solve for x.

=> 90 = x + 25=> x = 65°

Since we found x, we can find y by substituting x in the equation 90 = x + y

=> 90 = x + y=> 90 = 65 + y=> y = 25°

Conclusion:

Therefore, we found that:

x = 65°y = 25°

Hoped this helped.

[tex]BrainiacUser1357[/tex]

if the nth term of a sequence is n^2-5 what are the first three terms and the 10th term

Answers

Answer:

-4, -1, 4

Step-by-step explanation:

when n is 1

n² - 5 = 1² - 5

1 - 5 = -4

when n is 2

n² - 5 = 2² - 5

4 - 5 = -1

when n is 3

n² -5 = 3² - 5

9 - 5 = 4

10th term, when n is 10

n² - 5 = 10² - 5

100 - 5 = 95

3 out of every 5 students in Mrs. Wilson's class have brown eyes. There are 20 students in Mrs. Wilson's class. How many of the students in Mrs. Wilson's class have brown eyes?

Answers

Answer:

Step-by-step explanation:

So there is 3:5 right, so 20 divided by 5 equals 4, there are four 5's in 20. Then 4 multiplied by 3 equals 12. So there are 12 students that has BROWN EYES.

Hope I Helped You :)

Which speed is the fastest? 4 miles in 1/3 hour 1/3 mile in 4 hours 1/2 mile in 3 hours

Answers

Answer: 4 miles in 1/3 hour

Step-by-step explanation:

completing the square: x^2+2x-7=8x

Answers

Answer: x = 7, x = -1

Step-by-step explanation: Move the term to the left side

x^2 + 2x - 7 = 8x

x^2 + 2x - 7 - 8x = 0

Combine like terms

x^2 + 2x - 7 - 8x = 0

x^2 - 6x - 7 = 0

a = 1

b = -6

c = -7

x = -(-6) + (-6)^2 - 4 x 1(-7)/ 2 x 1

Evaulate the Exponent

Multiply the numbers

Add the numbers

Evaluate the square root

Multiply the numbers x = 6 ± 8/2

To solve for the unknown variable, separate into two equations: one with a plus and the other with a minus.

x = 6 + 8/2

x = 6 - 8/2

Rearrange and isolate the variable to find each solution

x = 7

x = -1

can somebody plsss help me 7qt= pt pls help meeee

Answers

Answer:

8.40665 Step-by-step explanation:

Can someone answer number 9 for and tell me if the others are correct i have a 64% in geometry trying to raise grade up to alteast 70%

Answers

Answer:

5, 6, 7, 8: correct

9: the Hi.nge theorem does not apply

Step-by-step explanation:

The Hi.nge theorem says that the side opposite the angle between two pairs of congruent sides is longer if the angle is larger. This theorem is applicable to problems 5-8, and your application is correct.

9) The Hi.nge theorem does not apply. The marked angles are not between the congruent sides. There is no necessary relation between the marked angles and the angles that are between the congruent sides, so no conclusion can be drawn regarding the relative lengths of AB and CD.

To make 8 dozen cookies, you must use 2 eggs. How many eggs are needed to make 40 dozen cookies? Use a proportion to solve.

Answers

Answer:

10 eggs for 40 dozens

Step-by-step explanation:

40÷8=5

5*2=10

Answer:For 40 dozen cookies, 10 eggs are required.Step-by-step explanation:

Our created proportion is 8:2::40:x

=> 8x = 80=> x = 10Conclusion:

Therefore, for 40 dozen cookies, 10 eggs are required.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Find a and b. А E b B 409 с D

Answers

Answer:

a = 70°, b = 140°

Step-by-step explanation:

use alternate interior angles

The interior angles of a straight line are 180°

a = 180°-110° = 70°

b = 180°-40° = 140°

//I'm sorry, but I'm not very fluent in English.

In this diagram shown,
PQRS is a rectangle

Answers

Ok that’s ok got re

Answer:

In the figure, PQRS is a rectangle. If the shaded area is 72 sq. cm,...In the figure, PQRS is a rectangle. If the shaded area is 72 sq. cm, find h

EXPLANATION

From the diagram, PQRS is a rectangle

Area of shaded part = 72sq.cm

But 72 = 3h - 4 + 6h - 4 + 4h

= 72 - 16h - 8

= 16h - 72 + 8

=16h = 80

h = 80/16

= 5cm

-4x+ lly = 15

pls help me

x=2y

Answers

Answer:

y = 5

Step-by-step explanation:

-4(2y) +11y = 15

-8y + 11y = 15

3y = 15

y = 5

Cube root -125 over 216

Answers

The answer is 0.023.
Hope this helps

Zack buys some potatoes from a store. The potatoes cost $6.78 for 3 pounds. He wants to buy more vegetables, but at the same price per pound as the potatoes. Which of the following vegetables could Zack buy?

Answers

Answer:

well we dont know other vegis are going for each pound is 2.26 but any vegtable thats is going 2.26 per pound works

Step-by-step explanation:

if each quadrilateral below is a square,find the missing measures

Answers

Answer:

∆EFG = 90°

∆GDH = 45°

∆FEG = 45°

∆DHG = 90°

The measure of the given angles are -

m ∠EFG = 90°

m ∠EFG = 45°

m ∠FEG = 45°

m ∠DHG = 45°

What is square?

A square is a quadrilateral with all sides congruent to one another.

Given is to find the measure of angles given in the question.

We can write the measure of angles as -

m ∠EFG = 90°

m ∠EFG = 45°

m ∠FEG = 45°

m ∠DHG = 45°

Therefore, the measure of the given angles are -

m ∠EFG = 90°

m ∠EFG = 45°

m ∠FEG = 45°

m ∠DHG = 45°

To solve more questions on angle measurements, visit the link-

brainly.com/question/29014197

#SPJ2

What does 33y mean if y is 18?

Answers

Answer:

it means you replace y with 18 so

33(18)

so 33*18=594

Hope This Helps!!!

Answer:

594

Step-by-step explanation:

33y

33(18)

33 x 18 = 594

X - 5V + 17 = 0 2x+ V + 1 = 0

Answers

Answer:

x= -[tex]\frac{10}{3}[/tex], v = [tex]\frac{7}{3}[/tex]

Step-by-step explanation:

x= - 10/3, v = 7/3

jus so u want to copy so u don't have to type ur self

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