Quiz about Alg 1 Desmos Unit 4 Describing Functions Review

Question 1

Determine if the following relations are functions? Choose all of the functions.

Accepted Answer

2

Accepted Answer

4

Answer

1

Answer

3

Question 2

Which inequality describes the domain of $$h\left(t\right)$$ .

Accepted Answer

$$-3\le t\le5$$

Answer

$$-3\le t\le4$$

Answer

$$-3\le h\left(t\right)\le4$$

Answer

$$-3\le h\left(t\right)\le5$$

Question 3

Which inequality describes the range of $$h\left(t\right)$$ .

Accepted Answer

$$-3\le h\left(t\right)\le4$$

Answer

$$-3\le t\le5$$

Answer

$$-3\le t\le4$$

Answer

$$-3\le h\left(t\right)\le5$$

Question 4

What is the value of $$f\left(0\right)$$ if $$f(x)=5x+2$$ ?

Accepted Answer

2

Answer

7

Answer

10

Answer

0

Question 5

What is the value of $$f\left(4\right)$$ if $$f(x)=5x+2$$ ?

Accepted Answer

22

Answer

25

Answer

18

Answer

20

Question 6

What is the value of $$f\left(-3\right)$$ if $$f(x)=5x+2$$ ?

Accepted Answer

-13

Answer

3

Answer

7

Answer

10

Question 7

Select all the true statements.

Accepted Answer

$$a\left(5\right)>j\left(6\right)$$

Accepted Answer

$$a\left(7\right)=j\left(7\right)$$

Accepted Answer

$$a\left(15\right)=4$$

Answer

$$a\left(12\right)>j\left(12\right)$$

Answer

$$a\left(3\right)

Question 8

Use this graph to write an equation $$f\left(x\right)$$ to represent this relationship.

Accepted Answer

$$f(x)=\frac{1}{3}x+1$$

Answer

$$f(x)=3x-3$$

Answer

$$f(x)=\frac{1}{3}x-3$$

Answer

$$f(x)=3x+1$$

Question 9

Model rockets are created in various sizes.

The height of a rocket in inches, $$h\left(x\right)$$ depends on the radius of the base of the rocket in inches, .

Use the table to write an equation for $$h\left(x\right)$$ that outputs the height of the rocket with a base radius of $$x$$ .

Accepted Answer

$$h(x)=2x+6$$

Answer

$$h(x)=\frac{1}{2}x-4$$

Answer

$$h(x)=2x+4$$

Answer

$$h(x)=\frac{1}{2}x+6$$

Question 10

Calculate Austin's average rate of change for the interval from 3 to 9 minutes.

Accepted Answer

$$0.5$$

Answer

$$2$$

Answer

$$-0.5$$

Answer

$$-2$$

Question 11

Calculate Austin's average rate of change for the interval from 9 to 15 minutes.

Accepted Answer

$$\frac{5}{6}$$

Answer

$$\frac{6}{5}$$

Answer

$$-\frac{5}{6}$$

Answer

$$-\frac{6}{5}$$

Question 12

Calculate Austin's average rate of change for the interval from 0 to 16 minutes.

Accepted Answer

$$\frac{7}{8}$$

Answer

$$\frac{8}{7}$$

Answer

$$-\frac{7}{8}$$

Answer

$$-\frac{8}{7}$$

Question 13

Which point represents the minimum of $$h\left(t\right)$$ ?

Accepted Answer

$$\left(4,-3\right)$$

Answer

$$\left(6,0\right)$$

Answer

$$\left(3,-4\right)$$

Answer

$$(-3,3)$$

Question 14

Where is function $$h\left(t\right)$$ increasing? Select all that apply.

Accepted Answer

$$-1.5<t<2$$

Accepted Answer

$$4<t<5$$

Answer

$$-3<t<-1.5$$

Answer

$$2<t<4$$

Question 15

Where is function $$h\left(t\right)$$ negative?

Accepted Answer

$$2.5<t<5$$

Answer

$$-3<t<2.5$$

Answer

$$-3<t<-1.5$$

Answer

$$2<t<4$$

Alg 1 Desmos Unit 4 Describing Functions Review

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