5.2.2 Graphing Functions & Linear vs Non

Draw

Anthony decides to expand the table to include the input values of $1 and $5.

Use the f(x) = 0.20x to complete the table.

Multiple Choice

Suppose Anthony has a goal of making $20 in tips in one hour. Anthony serves 2 groups in one hour, and the total of their meals cost $130

Did he reach his goal?

• Yes

• No

• I am not sure

Hotspot

The restaurant usually slows down during the final hour of Anthony’s time at work.

He set a goal of making $10 in tips for that hour.

Anthony serves two groups of people during that time. The total cost of their meals is $75.

Determine if Anthony met his goal.

Hotspot

The cost for a ride-share company is $2.50 to begin the ride plus $0.50 per mile. The function f(x) = 0.5x + 2.50 represents x as the miles traveled and f(x) as the cost.

Draw

If you need to travel 4 miles and only have $6, will you have enough money for this ride-share trip?

Recall that the cost for a ride-share company is $2.50 to begin the ride plus $0.50 per mile. The function f(x) = 0.5x + 2.50 represents x as the miles traveled and f(x) as the cost.

Multiple Choice

Which of the following tables represent the graph of the function f(x) = 5x – 12?

You can use the function notation and graph to help you.

Open Ended

Examine the graph again of a function showing the amount of money remaining on a subway fare card as a function of the number of rides taken. What does Point P tell you about the situation?

Hotspot

Which graph shows the correct coordinates on the line for when the:

•Output of the function is 10 when the input is 14; and

•Input of the function is 16 when the output is 5?

Hotspot

Which table and graph represent the function f(x) = -2x+10

Multiple Select

Which of the following are linear functions

Hotspot

Which tables represent a linear function?

Draw

complete the table and graph the function f(x) = -3x + 9

Multiple Choice

Exit Ticket: Which of the statements about linear functions is false?

• A.Linear function tables show output values increasing at the same amount as the input values are increasing at the same amount.

• A.The graphs of linear functions are straight lines.

• A.Linear function equations are in the form of $$f\left(x\right)=mx^2+b$$

• A.Linear function equations are in the form of $$f\left(x\right)=mx^{ }+b$$

Draw

Color in your star rating to show your understanding for today's lesson:

5 - understood everything

4- understood almost everything

3 - I need to practice

2 - not really getting it

1- did not understand anything