Free Printable Unit 1 Test - Intro to Function Properties

1.

All of the x values or inputs are called what?

a)

Domain

b)

Range

c)

Relation

d)

Function

2.

Is the relation a function? Why.

a)

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

b)

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

c)

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

d)

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

3.

Is this mapping a function or not a function?

a)

Function

b)

Not a Function

4.

Is this mapping a function or not a function?

a)

Function

b)

Not a Function

5.

Does this relation represent a function?

a)

No

b)

Yes

6.

Is this set of ordered pairs a function or not a function?

a)

Function

b)

Not a Function

7.

Which relation is NOT a function?

a)

{(1,-5), (3,1), (-5,4), (4,-2)}

b)

{(2,7), (3,7), (4,7), (5,8)}

c)

{(1,-5), (-1,6), (1,5), (6,-3)}

d)

{(3,-2), (5,-6), (7,7), (8,8)}

8.

If f(x)=6x²-4,
what is f(-1)?

a)

-2

b)

13

c)

2

d)

0

9.

Evaluate f(t)=-2t²+ 1 for f(-3)

a)

19

b)

37

c)

-17

d)

-11

10.

f(x)=x²-5x
f(4)=

a)

-4

b)

126

c)

24

d)

84

11.

Function or Not a Function?

a)

Function

b)

Not a Function

12.

What number CANNOT be in the denominator of a fraction?

a)

a negative number

b)

0

c)

1

d)

any whole number

13.

Find h(5) using the equation.

a)

-25

b)

25

c)

3

d)

7

e)

undefined

14.

Evaluate the function when x = 6

a)

f(6) = -5

b)

f(6) = 4

c)

f(6) = 2

d)

f(6) = 7

15.

What is g(4) if:

a)

-17

b)

-13

c)

13

d)

-5

16.

$f\left(x\right)=\frac{1}{x-5}$ Find the domain of

a)

$\left(-\infty,5\right)\left(5,\infty\right)$

b)

$\left[5,\infty\right)$

c)

$\left(-\infty,5\right]$

d)

$\left(-\infty,\infty\right)$

17.

Write the domain of $f\left(x\right)=\frac{x}{x^2-16}$

a)

$\left(-\infty,0\right)\left(4,\infty\right)$

b)

$\left[4,\infty\right)$

c)

$\left(-\infty,0\right)\left(0,4\right]$

d)

$\left(-\infty,-4\right)\left(-4,4\right)\left(4,\infty\right)$

18.

Find the domain of $g\left(x\right)=\sqrt{2x-4}$

a)

$\left(-\infty,2\right)\left(2,\infty\right)$

b)

$\left[2,\infty\right)$

c)

$\left(-\infty,2\right]$

d)

$\left(-\infty,\frac{1}{2}\right)\left(\frac{1}{2},\infty\right)$

19.

a)

$\left(-\infty,5\right)\left(5,\infty\right)$

b)

(-∞, 5]

c)

[5, ∞)

d)

$\left(-\infty,0\right)\left(0,\infty\right)$

20.

What is the domain of the function?

a)

(-∞, 5) U (5, ∞)

b)

(-∞, 4) U (4, ∞)

c)

(-∞, -4) U (-4, 5) U (5, ∞)

d)

(-∞, -4] U (-4, 5) U [5, ∞)

21.

Am i a Function or Not?

a)

Function

b)

Not a function

22.

Am i a function or not?

a)

Function

b)

Not a function

23.

What is this animal?

a)

crow

b)

robin

24.

What is this animal?

a)

walrus

b)

seal

25.

What kind of pasta is this?

a)

spaghetti

b)

macaroni

c)

gnocchi

d)

tagliatella

26.

All of the x values or inputs are called what?

a)

Domain

b)

Range

c)

Relation

d)

Function

27.

Is the relation a function? Why.

a)

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

b)

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

c)

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

d)

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

28.

Is this mapping a function or not a function?

a)

Function

b)

Not a Function

29.

Does this relation represent a function?

a)

No

b)

Yes

30.

Is this set of ordered pairs a function or not a function?

a)

Function

b)

Not a Function

31.

If f(x)=6x²-4,
what is f(-1)?

a)

-2

b)

13

c)

2

d)

0

32.

Evaluate f(t)=-2t²+ 1 for f(-3)

a)

19

b)

37

c)

-17

d)

-11

33.

Find h(5) using the equation.

a)

-25

b)

25

c)

3

d)

7

e)

undefined

34.

Evaluate the function when x = 6

a)

f(6) = -5

b)

f(6) = 4

c)

f(6) = 2

d)

f(6) = 7

35.

What is g(4) if:

a)

-17

b)

-13

c)

13

d)

-5

36.

Find f(1)

a)

-3

b)

6

c)

3

d)

11

37.

What is f(0)

a)

-5

b)

0

c)

1

d)

2

38.

What is the domain of this rational function?

$\frac{\left(x+3\right)\left(x-9\right)}{\left(x-5\right)}$

a)

$x\ne5$

b)

$x\ne-3,\ 9$

c)

$x\ne9$

d)

$x\ne-3$

39.

What restrictions are placed on the domain of the function $g\left(x\right)=\frac{x-6}{x^2-x-30}$ ? Select all that apply.

a)

$x\ne6$

b)

$x\ne-5$

c)

$x\ne-6$

d)

$x\ne5$

40.

What is the domain of the graph of the radical function?

a)

$x\ge-7$

b)

$x\le-4$

c)

$x\ge4$

d)

all real numbers

41.

Find the domain of h(x):

a)

$x\ge2$

b)

x=-2

c)

$x\ge-2$

d)

$x\le-2$

42.

What is the domain restriction of $f\left(x\right)=\sqrt{x+5}$ ?

a)

$x\ne0$

b)

$x\ne-5$

c)

$x\ge-5$

d)

$x\ge0$

43.

Find the Domain of the following Radical Function:

$f\left(x\right)=-\sqrt[5]{-2x}$

a)

All Real Numbers

b)

$\left(-\infty,\ 0\right]$

c)

$\left[0,\ \infty\right)$

d)

$\left(-\infty,\ 2\right]$

44.

Find the domain of $y=x^2+3x+9$

a)

$\left(-\infty,3\right)U\left(3,\infty\right)$

b)

$\left(-\infty,3\right]U\left[3,\infty\right)$

c)

$\left(-\infty,\infty\right)$

45.

Find the domain of

$f\left(x\right)\ =\ \frac{x-3}{x+4}$ .

a)

x =/= 4

b)

x =/= -3

c)

x =/= -4

d)

x =/= 3

46.

Is relation shown a function?

a)

YES

b)

NO

47.

Is this a function? Explain.

a)

Yes; it passes the horizontal line test.

b)

No; it is not a straight line.

c)

Yes; it passes the vertical line test.

d)

No; it does not pass the vertical line test

48.

Is the relation a function?

a)

Function

b)

Not a Function

49.

What is the domain?

a)

the set of all x-values

b)

the set of all y-values

50.

Is y a function of x?

a)

function

b)

not a function

51.

Is y a function of x?

a)

function

b)

not a function

52.

Which image is NOT the graph of a function?

a)

b)

c)

d)

53.

Find the x - intercept for the equation: 3x + 2y = 12

a)

-4

b)

2

c)

4

d)

-2

54.

What is the X-Intercept?

a)

x= 0

b)

x= 4

c)

x= 5

d)

x= -5

55.

What are the x-intercepts?

a)

x= 2/3

b)

x= 4, x = -2

c)

x= -8, x = 1

d)

x= -4, x = 2

56.

How do you find the y-intercept?

a)

replace all x-values with 0

b)

replace all y-values with 0

c)

set denominator equal to 0

d)

compare the degrees of the numerator and denominator

57.

f(x) = 2x² + 12x + 16
What is the average rate of change of f(x) on the interval [-3, -2].

a)

2

b)

1/2

c)

-2

d)

-1/2

58.

Find the average rate of change of f(x)=2x²+3x-1 from 1 to 2.

a)

18

b)

-9

c)

9

d)

3

59.

What is the average rate of change of y = 2(3)^x at [2, 4]?

a)

72

b)

3

c)

36.8

d)

630

60.

$f\left(x\right)=15x+13$ Which is the average rate of change over the interval [0,10]?

a)

15

b)

5

c)

0

d)

13

61.

Is the function even, odd, or neither?

f(x) = x² + 2

a)

Even

b)

Odd

c)

Neither

62.

$y=8x^{12}-8x^4+6x+22$

a)

Even Function

b)

Odd Function

c)

Function - neither even nor odd

d)

Not a function

63.

Determine algebraically: Is this an even, odd, or neither function?

f(x) = x⁴ + x²

a)

Even

b)

Odd

c)

Neither

64.

Is the function even, odd, or neither?
f(x)=5

a)

even

b)

odd

c)

neither

Unit 1 Test - Intro to Function Properties

Total questions: 64

Worksheet time: 3hrs 12mins

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