Free Printable Functions

1.

Which one is the best description of the set of numbers using set-builder notation?

\left\{0,1,\ 2,\ 3,\ 4,\ 5,\ ....\right\}

N - Natural Number; W- Whole Number;
Z- Integer; R- Real Number

a)

$\lfloor x\parallel x>0,\ x\in R\rfloor$

b)

$\lfloor x\parallel x>0,\ x\in N\rfloor$

c)

$\lfloor x\parallel x\ge0,\ x\in W\rfloor$

d)

$\lfloor x\parallel x\le0,\ x\in W\rfloor$

2.

Which one is right interval notation for the set of numbers?

x<11

a)

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

b)

$\left(-\infty,\ 11\right)$

c)

$\left(-\infty,\ 11\right]$

d)

{ 11, 12, 13, 14, ....}

3.

Identify whether following graph is a function. Use the vertical line test.

-----------------------

a)

Function

b)

Not function

4.

$If\ g\left(x\right)=x^2+8x-24,\ find\ g\left(6\right).$

a)

65

b)

56

c)

50

d)

60

5.

$If\ g\left(x\right)=x^2+8x-24,\ find\ g\left(2x\right).$

a)

$16x^2-32x-12$

b)

$8x^2-16x-12$

c)

$4x^2+16x-24$

d)

$2x^2+16x+24$

6.

$\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 1.6x-41.6\ \ \ \ if\ 63<x<66$
$h\left(x\right)=\ \ \ 3x-132\ \ \ \ \ \ if\ 66\le x\le68$
$\ \ \ \ \ \ \ \ \ \ \ \ \ \ 2x-66\ \ \ \ \ \ \ \ \ if\ x>68$

Evaluate a piecewise function h(67) .

a)

67

b)

68

c)

69

d)

70

7.

$\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Find\ f\left(-2\right)\ for\ the\ piecewise\ function.$
$\$
$\ \ \ \$

a)

-8

b)

-5

c)

11

d)

13

8.

Find the Domain of the function.

a)

[-4, 4]

b)

[-1, 6]

c)

(-1, 6)

d)

(-4, 4]

9.

Find the Range of the graph.

a)

[-1, 6]

b)

[-4, 4]

c)

(-1, 6)

d)

(-4, 4)

10.

Find Domain of the graph.

a)

(-oo, 0]

b)

(2, oo)

c)

(-oo, oo)

d)

[2, oo)

11.

$f\left(x\right)=x^3+x^2-6x+4$

Find y-intercept.

a)

1

b)

-6

c)

4

d)

0

12.

Find y-intercept.

f\left(x\right)=\sqrt{x+6}

a)

$\sqrt{6}$

b)

$-\sqrt{6}$

c)

-6

d)

6

13.

$f\left(x\right)=x^2+4x+3$

Find zeros (x-intercept) of the function

a)

x = -1 or -3

b)

x= 1 or 3

c)

No zeros

d)

x= 4 or 3

14.

$h\left(t\right)=\sqrt{4t+1}$

Find zero(s) of the function.

a)

$4$

b)

$-4$

c)

$\frac{1}{4}$

d)

$-\frac{1}{4}$

15.

$f\left(x\right)=x^3-2x$

Identify even and odd function.

a)

even

b)

odd

c)

neither

16.

$g\left(x\right)=x^4+2$

Identify even and odd function algebracally.

a)

even

b)

odd

c)

neither

17.

$h\left(x\right)=x^3+6x^2+12x+8$

Identify even and odd function algebracally.

a)

even

b)

odd

c)

neither

18.

What is the function that has no breaks, holes, or gaps?

a)

continuous function

b)

limit

c)

linear function

d)

discontinuous function

19.

$f\left(x\right)=\frac{1}{x}$

At which point, is this function discontinuous (undefined)?

a)

At x = 0

b)

At x = 1

c)

At x = 2

d)

At x = 3

20.

This is one of the piecewise functions. What type of discontinuity is this function?

a)

Infinite

b)

jump

c)

Removable

d)

continuous

21.

$\$ Find the left end behavior from the graph.

\lim_{x\rightarrow-\infty}f\left(x\right)\ =\

a)

5

b)

$-\infty$

c)

$\infty$

d)

-5

22.

$\lim_{x\rightarrow\infty}f\left(x\right)=$

Find the right end behavior of the function.

a)

- 2

b)

- 4

c)

0

d)

$\infty$

23.

Use the graph of function to estimate intervals for increasing, decreasing, or constant. Which interval is the most right for increasing behavior.

a)

$\left(-\infty,\ -2\right)\ \cup\ \left(4,\ \infty\right)$

b)

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

c)

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

d)

$\left(6,\ \infty\right)$

24.

Find the decreasing interval from the graph.

a)

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

b)

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

c)

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

d)

No decreasing interval

25.

Estimate and classify the absolute maximum for the graph of the function.

a)

60

b)

No absolute maximum

c)

-60

d)

0

Functions

Total questions: 25

Worksheet time: 1hrs 19mins

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