Functions Unit Review

Is it a function?

100

Is this relation {(1,2), (-4, 6), (7,1), (-1,2)} a function?

Yes it is. Y-values are allowed to repeat. X-values cannot.

200

Give a value of k that would make this relation not a function.

{(-1,0),(3,5),(4,9),(k,1)}

Either -1, 3, or 4.

300

Is this relation a function?

{(0,1),(1,0),(-2,1),(-1,-2)}

Yes, no repeating x-values

400

When given a graph, which test could you perform to determine if something is a function or not?

Vertical Line Test

500

Are relations always functions?

Not always

Random

100

What is average rate of change also known as?

Slope

200

What is the formula for Average Rate of Change?

M=(y₂-y₁)/(x₂-x₁)

300

What are the zeroes on a graph?

The x-intercepts

400

When finding the output of a piecewise function, do you use both parts of the function?

No, you use whichever one fits in the interval/boundary.

500

Given f(x)=x²+1, will there be any negative outputs?

No, all solutions are in Quadrant 1 and 2.

Which function is it?

100

Has no degree

Exponential Function

200

Which function shows a parabola?

Quadratic Function

300

When the y-values in a table increase at a constant rate.

Linear Function

400

Has a degree of 1.

Linear Function

500

f(x)=3^x-2

Exponential Function

Find that output!

100

If f(x)=4x+5, what is f(-3)?

f(-3)=4(-3)+5

f(-3)=-7

200

Given f(x)=-3x²+10, find the value of f(-2)

f(-2)=-3(-2)²+10

f(-2)=-2

300

If f(x)=(3x+4)/2, then f(8) is...

f(8)=(3(8)+4)/2

f(8)=14

400

If g(x)=-x²-x+5, then g(-4) is...

g(-4)=-(-4)²-(-4)+5

g(-4)=-7

500

If f(x)=x²+2x+1 and g(x)=3x+5, then what is the value of f(1)-g(3)?

f(1)=4

g(3)=14

f(1)-g(3)=4-14

f(1)-g(3)=-10

Vocabulary

100

Does the input represent x or y values?

X values

200

What does the slope measure?

Steepness of a line

300

Is a function always a relation?

YES

400

What is a function?

A rule that converts an input into an output

500

What is a set?

Collection of numbers