3.2 Linear Functions (Algebra I)

Presentation

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Mathematics

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9th - 12th Grade

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Practice Problem

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Medium

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CCSS

HSF.IF.A.2, HSF.IF.A.1, 6.EE.C.9

Standards-aligned

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4 Slides • 10 Questions

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 ______.

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

Multiple Choice

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

-4

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 + 1

x + 5

x + 1

3.2 Linear Functions (Algebra I) Part A

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

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