Free Printable Algebra Essentials: Functions

Worksheets

Algebra Essentials: Functions

Total questions: 57

Worksheet time: 2hrs 58mins

Name

Class

Date

Find the slope of the line.

Undefined

-1

Find the slope of the line.

Undefined

-1

What is the y-intercept of the equation: y = 2x - 3

(a)

Find the slope:
y = 2x - 10

(a)

Find the value of y when x = 2

(a)

What is the y-intercept of the line graphed below?

(-3, 0)

(0, 4)

(0, -3)

(4, 0)

What does 'b" represent in y = mx + b

y-intercept

macaroni

nothing

slope

Slope is another word for:

Initial Value

Rate of Change

Change in Y's

Y-intercept

Identify the slope and y-intercept of: $y=\frac{1}{5}x+5$

slope: 1/6 y-intercept: 4

slope: 1/5 y-intercept: 5

slope: 5/1 y-intercept: 5

slope: 1 y-intercept: 5

10.

The next two terms of the sequence 4,7,10,13 are

16 and 19

15 and 19

16 and 18

15 and 18

11.

Identify the common difference for the sequence 10, 20, 30, 40, ...

HINT: That means what is the pattern that you notice with the numbers?

12.

What is the y-intercept.

y-intercept is -3

y-intercept -2

y-intercept is 3

y-intercept is -1

13.

Describe the slope of the line.

negative slope

0 slope

positive slope

undefined slope

14.

What is the y-intercept for the given graph?

(0,-5)

(0,5)

(0,1)

(0,-1)

15.

What is the y-intercept?

(a)

16.

It's a function if EACH x-value is paired with only ONE y-value.

It's NOT a function if the SAME x-value is paired with TWO DIFFERENT y-values.

Function

Not a Function

17.

Which graph is linear?

Graph A

Graph B

Graph C

Graph D

18.

When you have a vertical line, you have a slope that's _______

Zero

Undefined

One

Ten

19.

Does this mapping diagram represent a function?

It's a function if EACH x-value is paired with only ONE y-value.

It's NOT a function if the SAME x-value is paired with TWO DIFFERENT y-values.

No, because there are repeating input values

Yes, because there are no repeating input values

20.

What is the slope of the equation?
y = -3x + 4

(a)

21.

What type of slope does the graph have?

Zero

Undefined

Negative

Positive

22.

Is the relation a function? Why.

HINT

It's a function if EACH x-value is paired with only ONE y-value.

It's NOT a function if the SAME x-value is paired with TWO DIFFERENT y-values.

Yes, because the x-value 11 has two y-values pair with it.

Yes, because each x-value has only one y-value paired with it.

No, because the x-value 11 has two y-values pair with it.

No, because each x-value has only one y-value paired with it.

23.

Remember the VERTICAL LINE TEST!

Function

Not a Function

24.

Is this graph a function or not a function?

Remember the VERTICAL LINE TEST!

Function

Not a Function

25.

^{What is the x- intercept of the line?}

(1, 0)

(2, 0)

( -1, 0)

(-2, 0)

26.

What is the definition of function?

Has output has exactly ONE input

Every input has exactly ONE output

Every input has TWO different outputs

Every input is UNIQUE and never repeats

27.

Does this mapping diagram represent a function?

HINT

It's a function if EACH x-value is paired with only ONE y-value.

It's NOT a function if the SAME x-value is paired with TWO DIFFERENT y-values.

No, because an input value goes to multiple output values

Yes, because each input goes to one and only one output

28.

Which set of values is a function?

HINT

It's a function if EACH x-value is paired with only ONE y-value.

It's NOT a function if the SAME x-value is paired with TWO DIFFERENT y-values.

(9,5) (10,5) (9,-5) (10,-5)

(3,4) (4,-3) (7,4) (3, 8)

(6,-5) (7, -3) (8, -1) (9, 1)

(2, -2) (5, 9) (5, -7) (1, 4)

29.

Is this graph a function or not a function?

HINT: Remember the VERTICAL LINE TEST!

Function

Not a Function

30.

Which graph does NOT pass the vertical line test?

Graph 1

Graph 2

Graph 3

Graph 4

31.

Is this mapping a function or not a function?

HINT

It's a function if EACH x-value is paired with only ONE y-value.

It's NOT a function if the SAME x-value is paired with TWO DIFFERENT y-values.

Function

Not a Function

32.

Is this table a function or not a function?

HINT

It's a function if EACH x-value is paired with only ONE y-value.

It's NOT a function if the SAME x-value is paired with TWO DIFFERENT y-values.

Function

Not a Function

33.

Is this graph a function or not a function?

HINT: Remember the VERTICAL LINE TEST

Function

Not a Function

34.

HINT

It's a function if EACH x-value is paired with only ONE y-value.

It's NOT a function if the SAME x-value REPEATS and is paired with TWO DIFFERENT y-values.

Function

Not a Function

35.

Is this a function?

HINT

It's a function if EACH x-value is paired with only ONE y-value.

It's NOT a function if the SAME x-value REPEATS and is paired with TWO DIFFERENT y-values.

Yes, it is a function.

No, it is not a function.

36.

Is it a function?

HINT

It's a function if EACH x-value is paired with only ONE y-value.

It's NOT a function if the SAME x-value REPEATS and is paired with TWO DIFFERENT y-values.

Function

NOT a Function

37.

Is it a function?

HINT

It's a function if EACH x-value is paired with only ONE y-value.

It's NOT a function if the SAME x-value REPEATS and is paired with TWO DIFFERENT y-values.

Function

NOT a Function

38.

Is it a function?

HINT

It's a function if EACH x-value is paired with only ONE y-value.

It's NOT a function if the SAME x-value REPEATS and is paired with TWO DIFFERENT y-values.

Function

NOT a Function

39.

Is it a function?

HINT

It's a function if EACH x-value is paired with only ONE y-value.

It's NOT a function if the SAME x-value REPEATS and is paired with TWO DIFFERENT y-values.

Function

NOT a Function

40.

Is it a function?

HINT

It's a function if EACH x-value is paired with only ONE y-value.

It's NOT a function if the SAME x-value REPEATS and is paired with TWO DIFFERENT y-values.

Function

NOT a Function

41.

Is it a function?

HINT

It's a function if EACH x-value is paired with only ONE y-value.

It's NOT a function if the SAME x-value REPEATS and is paired with TWO DIFFERENT y-values.

Function

NOT a Function

42.

Is it a function?

HINT

It's a function if EACH x-value is paired with only ONE y-value.

It's NOT a function if the SAME x-value REPEATS and is paired with TWO DIFFERENT y-values.

Function

NOT a Function

43.

Is it a function?

HINT

It's a function if EACH x-value is paired with only ONE y-value.

It's NOT a function if the SAME x-value REPEATS and is paired with TWO DIFFERENT y-values.

Function

NOT a Function

44.

Is it a function?

HINT: Remember the VERTICAL LINE TEST

Function

NOT a Function

45.

Is it a function?

HINT: Remember the VERTICAL LINE TEST!

Function

NOT a Function

46.

Is this a function? Explain.

HINT: Remember the VERTICAL LINE TEST!

Yes; it passes the horizontal line test.

No; it is not a straight line.

Yes; it passes the vertical line test.

No; it does not pass the vertical line test

47.

HINT: Remember the VERTICAL LINE TEST!

function

Not a function

48.

Using the vertical line test. Is this a function?

Yes

49.

Using the vertical line test. Is this a function?

Yes

50.

Are the following points a function?

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

HINT

It's a function if EACH x-value is paired with only ONE y-value.

It's NOT a function if the SAME x-value REPEATS and is paired with TWO DIFFERENT y-values.

Yes

51.

Are the following points a function?

(0,2), (1,1), (2,2), (4,3)

HINT

It's a function if EACH x-value is paired with only ONE y-value.

It's NOT a function if the SAME x-value REPEATS and is paired with TWO DIFFERENT y-values.

Yes

52.

Are the following points a function?

(4,2), (3,3), (2,2), (0,3)

HINT

It's a function if EACH x-value is paired with only ONE y-value.

It's NOT a function if the SAME x-value REPEATS and is paired with TWO DIFFERENT y-values.

Yes

53.

Are the following points a function?

(-1,-1), (-2,-2), (3,-1), (3,2)

HINT

It's a function if EACH x-value is paired with only ONE y-value.

It's NOT a function if the SAME x-value REPEATS and is paired with TWO DIFFERENT y-values.

Yes

54.

Are the following points a function?

(1,4), (2,3), (0,2), (0,4)

HINT

It's a function if EACH x-value is paired with only ONE y-value.

It's NOT a function if the SAME x-value REPEATS and is paired with TWO DIFFERENT y-values.

Yes

55.

Are the following points a function?

(0,0), (1,0), (2,0), (3,0)

HINT

It's a function if EACH x-value is paired with only ONE y-value.

It's NOT a function if the SAME x-value REPEATS and is paired with TWO DIFFERENT y-values.

Yes

56.

Are the following points a function?

(8,-3), (-4,4), (8,0), (6,2)

HINT

It's a function if EACH x-value is paired with only ONE y-value.

It's NOT a function if the SAME x-value REPEATS and is paired with TWO DIFFERENT y-values.

Yes

57.

Are the following points a function?

(1,1), (3,-2), (4,16), (1,-5)

HINT

It's a function if EACH x-value is paired with only ONE y-value.

It's NOT a function if the SAME x-value REPEATS and is paired with TWO DIFFERENT y-values.

Yes

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Algebra Essentials: Functions

Total questions: 57

Worksheet time: 2hrs 58mins

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