Review of Functions

Function Vocab

Evaluating Function Rules

Is it a Function?

Finding Zeros

Arithmetic Sequences

100

True or False-A relation is a set of ordered pairs

What is TRUE?

100

Is it a function? {(2, 3), (4, 5), ( -2, 6)}

What is YES because x does not repeat?

100

Evaluate f(x)=-3x if x=2

What is -6?

100

Where are the zeros of the function, if any exist?

x={-3,-1,2}

100

Determine whether the sequence is arithmetic:

-3, -5, -7, -9

If so, find the common difference.

yes; d = -2

200

The set of first coordinates of a relation or a function

What is domain/x-values?

200

Does the graph of the points (1,3) and (1,5) represent a function?

What is False, the points have repeat x-values

200

Evaluate f(x)=2x+1 if x=-2

What is -3?

200

What is/are the solution(s) to the function?

f(x) = x - 1

x = 1

200

Find the next 3 terms in the arithmetic sequence:

2, 6, 10, __, __, __

14, 18, 22

300

The set of second coordinates in a relation or a function

What is the range/y-values?

300

Is it a function?

x	y
2	4
1	5
2	6

What is NO because the x-value of 2 repeats?

300

Evaluate f(x)=-3 - x if x=6

What is -9?

300

What is/are the solution(s) to the function?

g(x) = 2x - 6

x = 3

300

Determine if the sequence is arithmetic:

17, 19, 23, ...

If so, find the common difference.

no; there is no common difference (first +2, then +5)

400

A relation that assigns exactly one value in the range to each value in the domain?

What is a function?

400

Is it a function?

What is YES because it passes the Vertical Line Test?

400

Evaluate f(x)=25 + 4x if x=5

What is 45?

400

Where are the roots of the function, if any exist?

x={2}

400

Write an equation to find the nth term of the sequence:

5, 6, 7, 8, ...

a_n = n + 4

500

The test to tell if a graph is a function

What is the Vertical Line Test?

500

Is it a function?

What is NO because it does not pass the Vertical Line Test?

500

Evaluate f(x)=-(4x+2) if x=7

What is -30

500

Where are the x-intercepts of the function, if any exist?

no solution

500

Use the given explicit formula to find the value of a₉.

a_n = n + 4

a₉ = 9 + 4

a₉ = 13