MM AP PRECAL - 1.1

​1.1 Functions and Function Notation

Read the Scenario

Match

Which is the input

which is the output

• Input

• Output

• Possible

  Function Name

Age (years)

Max Heart Rate

(bpm)

or

• Age (years)

• Max Heart Rate

  (bpm)

• $$h\left(x\right)$$

  or

  $$f\left(x\right)$$

Open Ended

1a. Describe the relationship between age and maximum heart rate.

(use a full sentence to describe the behavior)

Open Ended

b. Predict the maximum heart rate of a 35-year-old. Explain your method.

(base your answer from the table)

​Compare your
answers.
Do they agree with your response?

Poll

• Is it better to read the book first, or watch the movie adaptation? 📚

• Book First

• Movie First

• Book Only

• Movie Only

Multiple Choice

Use the graph to answer the question

2a. What is the maximum heart rate of a 60-year-old?

• 160 BPM

• 160 Years

• 100 BPM

• 80 Years

• Cannot be determined

Multiple Choice

2a. What is the maximum heart rate of a 60-year-old?

If the heart rate is 160 BPM,

what's the proper notation to express this fact?

• $$f\left(60\right)=160$$

• $$f\left(160\right)=60$$

• $$f\left(x\right)=160$$

Multiple Choice

Use the graph to answer the question

2b. What age would you predict for someone who has a maximum heart rate of 200 bpm?

• 0 years old

• 10 years old

• 20 years old

• 30 years old

• you need the equation

  to figure that out.

Math Response

Use the graph to answer the question

2c. Write an equation that that can be used to determine the maximum heart rate of someone who is 𝑥 years old.

Find the slope and y-intercept (f(x)=mx+b)

f(x)= ____________________

Type answer here

Correct Answer: 220-x

Deg^°

Rad

​How far off were your answers?

Open Ended

2d. What do you think are reasonable values for x in your equation? Explain.

Think about the age of a human, what are ages that are impossible.

Can you come up with a realistic range for a human's age (max and min)?