Intro to Key Features of Functions

Intro to Key Features of Functions

 

Learning Intentions

• We will look at real life examples of functions to pull out important information.

• We will be able to apply mathematical terms to the information we found.

Linear Functions

Ravi and his family are on their way to visit his grandparents in Tucsan, Arizona.  The graph shows the hours and miles since leaving Houston. Use this scenario to answer the following questions.

Fill in the Blank

Using the information in the graph, how far away is Houston from Ravi's grandparents' house? Type the number answer only.

Fill in the Blank

How many hours does it take Ravi's family to reach his grandparents' house?

Open Ended

Where on the graph did you look to answer the previous two questions?

Multiple Choice

Which is a correct way of stating the rate the family traveled?

• $$\frac{1000\ hours}{15\ miles}$$

• $$\frac{1000\ miles}{15\ hours}$$

• $$\frac{15\ hours}{1000\ miles}$$

• $$\frac{15\ miles}{1000\ hours}$$

Poll

The rate of their trip was 1000 miles in 15 hours. If we reduce this rate to miles per hour,

$$1000\div15$$  , is it a reasonable rate?

• yes

• no

• I'm not sure

Exponential Functions

Scientists use the amount of carbon left in a fossil to determine how old it is. The amount in this example is shown as a percent.

Multiple Choice

Which statement is true about the amount of carbon left in the fossil?

• The carbon starts at 100% and decreases by 10% every 1000 years.

• The carbon starts at 100% and grows 10% every 1000 years.

• The carbon starts at 100% and decreases by different amounts.

• The carbon starts at 100% and increases by different amounts.

Multiple Choice

When will there be 0% of carbon left in the fossil?

• 50,000 years

• 100,000 years

• 40,000 years

• Never

Quadratic Functions

A golfer is hitting a golf ball off a platform at Top Golf.  The graph represents the horizontal distance of the golf ball in yards, and the height of the golf ball in yards.

Fill in the Blank

How many (horizontal) yards away does the golf ball land on the ground from where it started?

Fill in the Blank

How many yards high did the golf ball start its path?

Fill in the Blank

What is the highest the golf ball rises before falling to the ground?

Multiple Choice

What is the domain and range of the path of the golf ball?

• $$Domain:\ 0\le x\le230$$ $$Range:\ 0\le y\le36$$

• $$Domain:\ 0<x<230\$$ $$Range:\ 6\le y\le110$$

• $$Domain:\ 6\le x\le110$$ $$Range:\ 0\le y\le36$$