Evaluating Linear Functions

​March 2, 2023

​Notebook, Computer

Fill in the Blanks

Clarisse is driving to South Carolina with her tank at 20 gallons. She is driving at a constant speed and she noticed that the gasoline tank is decreasing at a rate of 2 gallons per hour. What linear function (y = mx + b) can be represented by this.

Write your answer with no spaces.

​Review Time

Multiple Choice

In the given table, what is the distance in 3 hours?

• 105 miles

• 90 miles

• 75 miles

• 45 miles

Multiple Choice

Is the given graph represents a linear function? Why or why not?

• Yes, since it's a line.

• No, because it's curve and not straight.

• Yes, because it has a constant rate of change.

• No, because there is no y-intercept.

Multiple Choice

Which of the following represents a linear function?

• $$y\ =\ -6+x^3$$

• $$f\left(x\right)=-7x^{-1}+2$$

• $$y=3+0.0125x$$

• $$f\left(x\right)=-\frac{2}{x-1}$$

Multiple Choice

Which table represents a linear function?

• A

• D

• B

• C

​Evaluating Linear Functions

Evaluating Linear Functions

​Substitution is the key!

​Just substitute the given x(input) or y(output).

​

​f(x) = 2x + 4; x = 3

Multiple Choice

Evaluate: $$f\left(x\right)\ =\ 4x-2;\ x=1$$

• f(1) = -2

• f(1) = 2

• f(1) = -4

• f(1) = 3

Multiple Choice

Evaluate: $$y=-7x+3;\ x\ =2$$

• y = -11

• y = 11

• y = 17

• y = -17

Fill in the Blanks

Evaluate: $f\left(-2\right)=-4x-10$

Fill in the Blanks

Evaluate: $f\left(0\right)=-21+3x$

Open Ended

Using one word, how did you find our lesson today?