3.2 Linear Functions (Algebra I)

3.2 Linear Functions (Algebra I) Part A

You will be able to write and evaluate linear and functions, graph linear functions.

Evaluate Functions in Function Notation

• f(x) reads "f of x"

• x: element in the domain

• f(x): element in the range

• example:  $f\left(x\right)=5x+1$  

Evaluate Functions in Function Notation

•  $f\left(x\right)=5x+1$  

• Find  $f\left(3\right)$  

• Let  $x=3$  

•  $f\left(3\right)=5\left(3\right)+1$  

•  $f\left(3\right)=15+1$  

•  $f\left(3\right)=16$  

Multiple Choice

How do you read f(x)?

• f x

• f of x

• f parenthesis x

• f with an x inside parenthesis

Multiple Choice

f(x) is the same thing as ______.

• y

• x

• input

• an equation

Multiple Choice

If a question asks you to find f(2), what does that mean?

• Let x = 2

• Let y = 2

Multiple Choice

If f(x) = 2x+1, what would the function look like once you substitute in a 1 to find f(1)?

• f(x) = 21+1

• f(1) = 2 (1) + 1

• f(1) = 2x (1) + 1

Multiple Choice

$f\left(x\right)=5x-12$ What is $f\left(-4\right)$

• -32

• -3

• -12

• 3

Multiple Choice

 $Given\ h\left(x\right)=x^2-4\ what\ is\ h\left(6\right)?$  

• 32

• 0

• -4

• 77

Writing a Linear Function Rule

•  $y=mx+b$  

•  $m=slope:\ rate\ of\ change$  

•  $b=y-intercept$  

Multiple Choice

The price p of an ice cream is $3.95 plus $0.85 for each topping t on the ice cream.

• p = 0.85t - 3.95

• p = 0.85t + 3.95

• p = 3.95t + 0.85

Multiple Choice

A pizzeria charges $12 per pizza plus an additional $3 for delivery. Which equation represents the cost of having any number of pizzas delivered?

• c = 12p + 3
• c = 12p
• c = 3p
• c = 12 + 3p

Multiple Choice

Patrick earns $20 for every lawn that he mows. Write an equation used to find t, the total amount of money he earns from mowing n lawns.

• n = 20t
• t = 20n
• t = n + 20
• t = n - 20

Multiple Choice

Write the function rule for the following table.

•  5x
• 5x + 1
•  x + 5
•  x + 1