Chapter 1 Review Functions and Linear Equations

Which of the following is a function?

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• 
• 
• 

Answer explanation

By definition of a function, each input maps to exactly one output!

Use the following table to fill in the blank: f(6)=_.

• 0

• 8

• 4

• 2

Answer explanation

If we input 6, we get an output of 0, f(6)=0.

Use the following graph to fill in the blank: f(_)=2

• 0

• 1

• 4

• 3

Function Notation: In function notation, we write functions in the form h(A)=B where f is the name of the function and...

• A is the output and B is the input

• Both A and B are the output

• Both A and B are the input

• A is the input and B is the output

Answer explanation

In h(A)=B, A is what we plug in so it is the input. B is what we get after plugging in A, so B is the output.

Consider f(x)=2x+2, then f(x+4)=...

• 2x+6

• 2(x+4)+2

• 2x+10

• 6x+2

Answer explanation

f(x+4)=2(x+4)+2=2x+8+2=2x+10

Let h(t) be the height of corn in feet t months after being planted. Interpret h(5)=6.

• In 6 months, the corn will be 5 meters tall.

• In 5 weeks, the corn will be 6 feet tall.

• In 5 months, the corn will be 6 feet tall.

• In 6 months, the corn will be 5 meters tall.

Answer explanation

The input is time in months and the output is height in feet,

Answer explanation

"(" or ")" means the number is NOT included in the interval. "[" or "]" means the number IS included in the interval. Infinity is NEVER included in the interval.

What is the domain of this function?

• (5,8)

• (1,5)U(5,8]

• (1,8]

• (5,8]

Answer explanation

The domain is all possible inputs of the function. Inputs in our graph are the x values, so our domain is (1,8]

What is the range of the function?

• [1,5)U(5,11.13]

• [5,11.13]

• [11.13,1]

• [1,11.13]

Answer explanation

The range is all possible outputs, so the range is the y values: [1,11.13]. Recall that for function notation, [a,b] is saying your value is greater than or equal to a or less than or equal to b.

What is the range of f(x)=-2x+3 on the domain (0,2]

• (-1,3]

• (3,-1]

• [-1,3)

• [3,-1)

Answer explanation