Quiz about Functions, Domain, and Range from Situations and Graphs

Question 1

Joe had a summer job that pays $7.00 an hour and he worked between 15 and 35 hours every week. His weekly salary can be modeled by the equation: S = 7h, where S is his weekly salary and h is the number of hours he worked in a week. What is the independent variable for this problem?

Accepted Answer

h, the number of hours worked

Answer

S, the weekly salary

Answer

7, the hourly pay rate

Answer

The number of weeks worked

Question 2

Joe had a summer job that pays $7.00 an hour and he worked at least 15 and no more than 35 hours every week. His weekly salary can be modeled by the equation: S = 7h, where S is his weekly salary and h is the number of hours he worked in a week. Describe the domain for this problem using appropriate notation.

Accepted Answer

$$15\le h\le35$$

Answer

$$105\le S\le245$$

Answer

$$105<S<245$$

Answer

$$15<h<35$$

Question 3

Joe had a summer job that pays $7.00 an hour and he worked at least 15 and no more than 35 hours every week. His weekly salary can be modeled by the equation: S = 7h, where S is his weekly salary and h is the number of hours he worked in a week. Describe the range for this problem using appropriate notation.

Accepted Answer

$$105\le S\le245$$

Answer

$$15\le h\le35$$

Answer

$$105<S<245$$

Answer

$$15<h<35$$

Question 4

Joe had a summer job that pays $7.00 an hour and he worked between 15 and 35 hours every week. His weekly salary can be modeled by the equation: S = 7h, where S is his weekly salary and h is the number of hours he worked in a week. What does each value in the ordered pair (20, 140) mean in context of this problem?

Accepted Answer

Joe worked 20 hours and earned $140 that week.

Answer

Joe worked 140 hours and earned $20 that week.

Answer

Joe worked 20 hours and earned $7 that week.

Answer

Joe worked 7 hours and earned $140 that week.

Question 5

What are the domain and range for this relationship?

Accepted Answer

Domain: $$\left\{-3,\ -2,\ 1,\ 4\right\}$$

Range: $$\left\{-4,-2,\ 0,\ 3,\ 5\right\}$$

Answer

Domain: $$-3\le x\le4$$

Range: $$-4\le f\left(x\right)\le5$$

Answer

Domain: $$-4\le x\le5$$

Range: $$-3\le f\left(x\right)\le4$$

Answer

Domain: $$\left\{-4,\ -2,\ 0,\ 3,\ 5\right\}$$

Range: $$\left\{-3,\ -2,\ 1,\ 4\right\}$$

Question 6

What are the domain and range for this relationship?

Accepted Answer

Domain: $$x>-4$$

Range: $$f\left(x\right)\ge1$$

Answer

Domain: $$x\ge-4$$

Range: $$f\left(x\right)>1$$

Answer

Domain: $$f\left(x\right)>1$$

Range: $$x>-4$$

Answer

Domain: $$f\left(x\right)\ge1$$

Range: $$x\ge-4$$

Question 7

Which of the following are true?

Accepted Answer

This is not a function

Accepted Answer

The range is all real numbers

Answer

This is a function

Answer

The domain is all positive numbers

Question 8

Maya is observing the temperature, $$T\left(h\right)$$ , in degrees Fahrenheit as a function of the hours after 7:00 am, $$h$$ , throughout the day. Select all true statements.

Accepted Answer

Domain: All real numbers

Accepted Answer

Range: $$-5\le T\left(h\right)<\infty$$

Answer

The solution to $$T\left(h\right)=-3$$ is $$h=2$$ hours

Answer

The temperature at 6:00 am is $$1\degree\ F$$

Question 9

Which of the following are true?

Accepted Answer

Domain: All real numbers

Accepted Answer

Range: $$-\infty

Answer

Domain: $$-5\le x\le4$$

Answer

Range: $$-6\le f\left(x\right)\le6$$

Answer

This is not a function

Question 10

Select all true statements.

Accepted Answer

This is a function

Accepted Answer

$$f\left(-2\right)=0$$

Answer

$$f\left(5\right)>f\left(1\right)$$

Answer

Domain: $$\left\{-5,\ 0,\ 1,\ 4\right\}$$

Answer

Domain: $$-3\le x\le5$$

Question 11

Which of the following are true:

Accepted Answer

This is a function

Accepted Answer

Range: $$f\left(x\right)\ge0$$

Accepted Answer

This is a continuous function

Answer

Domain: $$-6\le x\le4$$

Answer

Range: $$-\infty

Question 12

Which of the following are true?

Accepted Answer

Domain: All Real Numbers

Range: $$0\le f\left(x\right)\le3$$

Accepted Answer

The horizontal intercepts are $$\left(-3,\ 0\right)$$ and $$\left(3,\ 0\right)$$

Answer

Domain: $$-6\le x\le6$$

Range: $$0\le f\left(x\right)\le3$$

Answer

The vertical intercept is $$\left(3,\ 0\right)$$

Answer

Domain: All real numbers

Range: $$0\le f\left(x\right)<\infty$$

Functions, Domain, and Range from Situations and Graphs

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