Function Rules & Vocab
Evaluating Function Rules
Writing Function Rules
Graphing
Is it a Function?
100

In order to be a function, every input must have ___ output(s).

What is ONE?

100

Evaluate y=-3x if x=2

What is -6?

100

Given the points write a function rule (y=mx+b) (0,-2);(1,-1); (2,0)

What is y=x-2?

100

The rate of change of y = 3x + 2

What is 3?

100

Is it a function? Explain.

{(2, 3), (4, 5), ( -2, 6)}

What is YES because all inputs only have one output?

200

Write a function rule for the statement.

The output is 4 more than 3 times the input.

What is y=3x+4?

200

Evaluate y=2x+1 if x=-2

What is -3?

200

Given the points write a function rule (y=mx+b)

(0,0); (1,3); (2,6)

What is y=3x?

200

Is the function linear or nonlinear? Explain.

y = x3 + 1

No, the line cannot be written in slope-intercept form and there is an exponent with the "x."

200

Using the vertical line test does the graph of the points (1,3) and (1,5) represent a function?

What is False, the points fail the vertical line test

300

Write a function rule for the statement.

The output is one-fourth of the input.

What is y=1/4x?

300

Evaluate y=-3 - x if x=6

What is -9?

300

Given the points write a function rule (y=mx+b)

 (0,0); (2,1); (4,2)

What is y=1/2x?

300

Is the function linear or nonlinear? Explain.

(0, 4), (1, 10), (2, 12)

No, the rate of change is not constant.

300
Is it a function?
x y
2 4
1 5
2 6
What is NO because x repeats?
400

Write a function rule for the statement.

The output is six less than the input.

What is y = x - 6?

400

Evaluate y=25 + 4x if x=5

What is 45?

400

Given the points write a function rule (y=mx+b)

(-1,-1); (0,1); (1,3);(2,5)

What is y=2x+1?

400

Is the function linear or nonlinear? Explain.

(4, 4), (6,  0), (8, -4)

Yes, the rate of change is the same.

400
Is it a function?
What is YES because it passes the Vertical Line Test?
500

The test to tell if a graph is a function

What is the Vertical Line Test?

500

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

What is -30

500

Given the points write a function rule (y=mx+b)

(0,5); (1,6); (2,7);(-1,4)

What is y=x+5

500

Is the function linear or nonlinear? Explain.

y = 2(3x - 4)

Yes, the line can be written in slope-intercept form (y = 6x - 8)

500

Is it a function?

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