Free Printable Alg 2 1-1

1.

What is the Domain?

a)

-3 < x ≤ 3

b)

-4 ≤ x < 5

c)

-4 ≤ y ≤ 5

d)

-3 < y ≤ 3

2.

Where is the function positive?

a)

(6, ∞)

b)

(-∞, 6)

c)

(0, ∞)

d)

(-∞, 0)

3.

What is the rate of change for the graph?

a)

m = 1/2

b)

m = 2

c)

m = -1/2

d)

m = -2

4.

Where is the function negative?

a)

(6, ∞)

b)

(-∞, 6)

c)

(0, ∞)

d)

(-∞, 0)

5.

What kind of Function is this?

a)

Linear

b)

Absolute Value

c)

Quadratic

d)

Exponential

e)

None of the above

6.

DOMAIN is found by reading the ends of a graph from ___ to ___.

a)

Right to left

b)

Left to right

c)

Bottom to top

d)

Top to bottom

7.

RANGE is found by reading the ends of a graph from ___ to ___.

a)

Right to left

b)

Left to right

c)

Bottom to top

d)

Top to bottom

8.

Does this parabola have a minimum or maximum and what is its value?

a)

minimum: 2

b)

maximum: 2

c)

minimum: 5

d)

maximum: 5

9.

Identify the y-intercept

a)

(0, -3)

b)

(3, 0)

c)

(0, 3)

d)

(2, 1)

10.

What type of slope does the graph have?

a)

Positive

b)

Negative

c)

Zero Slope

d)

Undefined

11.

What is the x-intercept shown on the graph?

a)

(2, 0)

b)

(-2, 0)

c)

(0, 3)

d)

(3, 0)

12.

a)

Function

b)

Not a Function

13.

a)

Function

b)

Not a Function

14.

What is the domain of the function?

a)

(-∞,5]

b)

(-∞,5)

c)

(-∞,2]

d)

(-∞,2)

15.

Which of the following intervals is the mathematical equivalent of the given inequality?

$-8\le x<9$

a)

$\left(-8,9\right)$

b)

$\left[-8,9\right]$

c)

$\left[-8,9\right)$

d)

$\left(-8,9\right]$

16.

Which of the following intervals is the mathematical equivalent of the given inequality?

$x\ge5$

a)

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

b)

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

c)

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

d)

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

17.

Which graph shows a function with a domain off all real numbers greater than 7?

a)

b)

c)

d)

18.

What is the negative interval of the Quadratic function?

a)

$\left(-2,1\right)$

b)

$\left[-2,1\right]$

c)

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

d)

$\left(-1,0\right)$

e)

$\left(-2,0\right)$

19.

Where does the Cubic function have a negative interval?

a)

$\left(-2,0\right)\cup\left(-1,0\right)\cup\left(1,0\right)$

b)

$\left(-\infty,-2\right)\cup\left(-1,1\right)$

c)

$\left(-2,-1\right)\cup\left(1,\infty\right)$

d)

$\left(-2,-1\right)\cup\left(-\infty,1\right)$

20.

Which is the correct increasing interval for the Exponential function?

a)

$\left(1,0\right)$

b)

$\left(-1,0\right)$

c)

$\left(1,\infty\right)$

d)

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

e)

$\left(-\infty,1\right)$

21.

Which is the correct increasing interval for the Absolute Value function?

a)

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

b)

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

c)

$\left(0,0\right)$

d)

None

e)

$\left(-\infty,1\right)$

22.

Which key feature is described using the interval $\left(1,\infty\right)?$

a)

Domain

b)

Range

c)

Positive Interval

d)

Negative Interval

e)

Decreasing Interval

23.

Which of the following functions has a range of $\left(-\infty,3\right]?$

a)

b)

c)

d)

24.

What is the negative interval for the Exponentail function?

a)

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

b)

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

c)

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

d)

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

e)

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

25.

Which of the following represents the decreasing intervals?

a)

$\left(-\infty,-6\right)\cup\left(0,2\right)$

b)

$\left(-6,\infty\right)\cup\left(2,4\right)$

c)

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

d)

$\left(-\infty,-6\right)\cup\left(-4,2\right)$

26.

What is the equation of the absolute value function?

a)

f(x)= |x+4|

b)

f(x)= |x-4|

c)

f(x)= |x| + 4

d)

f(x)= |x| - 4

27.

What is the equation of the graph below?

a)

f(x) = I x + 2 I

b)

f(x) = I x + 2 I +2

c)

f(x) = I x - 2 I +2

d)

f(x) = I x - 2 I

28.

What is the vertex of the absolute value function?

a)

(4, 0)

b)

(0, 4)

c)

(-infinity, infinity)

d)

[4, infinity)

29.

Which equation shows a function that is translated left 4 and 7 up?

a)

y = |x + 4| + 7

b)

y = (x - 4)² + 7

c)

y = (x + 7)² - 4

d)

y = |x + 4| - 7

30.

Which function is graphed?

a)

f(x) = -3|-x - 1| + 4

b)

f(x) = -|x - 1| + 4

c)

f(x) = 5|x - 1| + 4

d)

f(x) = -3|x - 4| + 1

31.

What transformation is f(-x)

a)

Reflection over the y axis

b)

Reflection over the x axis

c)

Translation in the y direction

d)

Translation in the x direction

32.

If (3, -1) is on the graph of y = f(x), which of the following coordinates will be on the graph of y = 2f(x-1)+4.

a)

(8, 3)

b)

(2,, 6)

c)

(7, 3)

d)

(4, 2)

33.

Write an absolute value function given the following transformations:
Reflection across the x-axis
Vertical shift right 2 units
Horizontal shift down 7 units

a)

y = -|x + 2| - 7

b)

y = |x - 2| - 7

c)

y = -|x - 2| - 7

d)

y = -|x - 2| + 7

34.

Write an absolute value function given the following transformations: Vertical Stretch of 2 shift left 1 unit shift down 9 units

a)

f(x) = |2x + 1| - 9

b)

f(x) = |2x - 1| - 9

c)

f(x) = 2|x + 1| - 9

d)

f(x) = 2|x - 1| - 9

35.

What is g(7) if:

a)

-17

b)

-13

c)

13

d)

17

36.

Using the pictured graph, what is f(-3)?

a)

-3

b)

-1

c)

1

d)

3

37.

a)

A

b)

B

c)

C

d)

D

38.

What is f(-2)?

a)

4

b)

1

c)

1

d)

DNE

39.

What is the RANGE of the function?

a)

(-∞, +∞)

b)

(-∞, 4]

c)

(-∞, 4)

d)

[0, 4]

40.

Find x if y = 1

a)

x = -1

b)

x = 0

c)

-2 < x < 1

d)

x = -3 or x = 2

41.

Match the graph with the correct equation.

a)

b)

c)

d)

42.

Which graph matches:

-x+4 if x < 2

2x-6 if x ≥ 2

a)

A

b)

B

c)

C

d)

D

43.

What is the domain and range of the function shown?

a)

domain: [-4, 4) range: [-1, 4]

b)

domain: (-4, 4) range: [-1, 4]

c)

domain: [-1, 4) range: (-1, 4)

d)

domain and range: [-4, 4)

44.

For the graph shown. Which selection is the correct way to write the piecewise function?

a)

b)

c)

d)

Alg 2 1-1 - 1-2 Review

Total questions: 44

Worksheet time: 3hrs 32mins

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