Lesson 5 Give Me Five Practice Understanding

Ready

Use the graph of each function to find the indicated values.

1.

$f (x)$

a.

$f (4) =$

b.

$f (- 4) =$

c.

$f (x) = 4, x =$

d.

$f (x) = 7, x =$

2.

$g (x)$

a.

$g (- 1) =$

b.

$g (- 3) =$

c.

$g (x) = - 4, x =$

d.

$g (x) = - 1, x =$

3.

$h (x)$

a.

$h (0) =$

b.

$h (3) =$

c.

$h (x) = 1, x =$

d.

$h (x) = - 2, x =$

4.

$d (x)$

a.

$d (- 5) =$

b.

$d (4) =$

c.

$d (x) = 4, x =$

d.

$d (x) = 0, x =$

5.

For each situation either create a function or use the given function to find and interpret solutions.

Fran collected data on the number of feet she could walk each second and wrote the following rule to model her walking rate $d (t) = 4 t$ .

a.

What is Fran looking for if she writes $d (12) = \underset{―}{}$ ?

b.

In this situation what does $d (t) = 100$ tell you?

c.

How can the function rule be used to indicate that a time of $16 seconds$ was walked?

d.

How can the function rule be used to indicate that a distance of $200$ feet was walked?

Set

6.

Describe the features of the function in the graph and create a situation this graph could represent.

Write the intervals where it is decreasing and/or increasing:

Identify the min and/or max:

State the domain and range:

Write a situation this graph could represent:

7.

For each situation use the given function to find and interpret solutions.

Hope has been tracking the progress of her family as they travel across the country, she knows they are driving $78 miles$ per hour during their vacation and she has created a function, $d (t) = 78 t$ to model the progress they are making.

a.

What would Hope be attempting to find if she writes $d (4) = 78 (4)$ ?

b.

What would the expression $d (t) = 450$ mean in this situation?

c.

What would the expression $d (3.5)$ mean in this situation?

d.

How could Hope use the function to find the time it would take to travel $800$ miles?

8.

Use the graph to answer the questions as accurately as possible.

a.

Where does $f (x) = g (x)$ ?

b.

What is $g (0) + f (0)$ ?

c.

On what interval(s) is $g (x) > f (x)$ ?

d.

What is $g (- 8) + f (- 8)$ ?

Go

For each context or representation determine whether it is discrete or continuous or could be modeled best in a discrete or continuous way. Justify your answer.

9.

Susan puts exactly $$ 5$ a week in her piggy bank.

10.

11.

12.

Marshal tracks the number of hits he gets each baseball game and records his total number of hits for the season in a table.

13.

The distance you have traveled since the day began.

14.

Number of Gumballs	Cost
$5$	$10 ¢$
$10$	$20 ¢$
$15$	$30 ¢$
$20$	$40 ¢$

15.

Stephen deposited $$ 1,000$ in a savings account at the bank when he turned $21$ . He deposits $$ 100$ each month. He plans to never withdraw any money until the balance is $$ 150,000$ .