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IM Alg1.4.3 Lesson: Interpreting & Using Function Notation

Here is a graph that represents function f, which gives the height of a drone, in meters, t seconds after it leaves the ground.

Decide which function value is greater: or

or

or

or

The function P gives the number of people, in millions, who own a smartphone, t years after year 2000.

What does the equation tell us about smartphone ownership?

What does the equation tell us about smartphone ownership?

Use function notation to represent the statement: In 2010, the number of people who owned a smartphone was 296,600,000.

In 2015, about 1.86 billion people owned a smartphone.

Mai is curious about the value of in . What would the value of tell Mai about the situation?

Is 4 a possible value of here?

Use the information you have so far to sketch a graph of the function in the applet below.

What can you say about the value or values of when ?

The function W gives the temperature, in degrees Fahrenheit, of a pot of water on a stove, t minutes after the stove is turned on.

Take turns with your partner to explain the meaning of each of the following statements in this situation. When it’s your partner’s turn, listen carefully to their interpretation. If you disagree, discuss your thinking and work to reach an agreement.

If all statements in the previous questions represent the situation, sketch a possible graph of function W. Show where each statement can be seen on your graph.