Free Printable Graph It! Problems

Free Printable Worksheets

Worksheets

Graph It! Problems

Total questions: 30

Worksheet time: 34mins

Name

Class

Date

1.

a)

b)

c)

d)

2.

What is the domain?

a)

b)

c)

d)

3.

a)

b)

c)

d)

4.

a)

b)

c)

d)

5.

a)

b)

c)

d)

6.

a)

b)

c)

d)

7.

a)

b)

c)

d)

8.

a)

b)

c)

d)

9.

a)

b)

c)

d)

10.

What is the solution set?

a)

b)

c)

d)

11.

Why did the chicken cross the playground?

a)

To get to the other slide!

b)

-

12.

What is the solution set?

a)

b)

c)

d)

No real solutions!

13.

What are the solutions?

a)

b)

c)

d)

14.

Which statement is true?

a)

f(x) and g(x) have the same domain and the same range.

b)

f(x) and g(x) have different domains and different ranges.

c)

f(x) and g(x) have the same domain and different ranges.

d)

f(x) and g(x) have different domains and the same range.

15.

Which function has a graph with an axis of symmetry on x = -3 and y-intercept of -5?

a)

f(x) = |x+3|-2

b)

f(x) = |x-3|-2

c)

f(x) = -|x+3|-2

d)

f(x) = -|x-3|-2

16.

What are the domain and range?

a)

D = (-∞,∞)

R = (-∞,∞)

b)

D = [-5,∞)

R = [0,∞)

c)

D = (-∞,-5]

R = (-∞,0]

d)

D = [-5,∞)

R = (-∞,0]

17.

The graph of a quadratic function has roots at -3 and -7 and a vertex at (-5, 4). Which function is being describe?

a)

y = - (x + 5)² - 4

b)

y = - (x + 5)² + 4

c)

y = (x + 5)² - 4

d)

y = (x + 5)² + 4

18.

What are the domain and range of the function?

a)

Domain: x ≤ -3

Range: R

b)

Domain: x ≥ -3

Range: R

c)

Domain: R

Range: y ≤ -4

d)

Domain: R

Range: y ≥ -4

19.

find the zeros of

2x²+7x+6

a)

2/3 , 2

b)

-1, 3

c)

-2/3, -2

d)

-3, 1

20.

Why did the duck cross the road?

a)

It was the chicken's day off!

b)

-

21.

Find the vertex of
f(x) = -x²- 4x + 12

a)

(-2, 16)

b)

(2, 0)

c)

(2, 4)

d)

(-2, 4)

22.

What direction does the parabola open?
y=-3x²-7x+8

a)

Up

b)

Down

c)

Left

d)

Right

23.

Does

y = -4x²

have a maximum or minimum value?

a)

maximum

b)

minimum

24.

What is the axis of symmetry?
y=4x²-8x+9

a)

x=-8

b)

x=1

c)

x=-1

d)

x=2

25.

Where is the vertex of the following function?

y= 4|x|+1

a)

(0,1)

b)

(4,1)

c)

(1,0)

d)

(1,4)

26.

Identify the equation of the graph.

a)

y = - |x + 2| + 4

b)

y = - |x - 2| + 4

c)

y = |x - 2| + 4

d)

y = |x - 2| - 4

27.

What are the domain and range?

y = - (x+4)²-1

a)

Domain: all real numbers

Range: y≥-1

b)

Domain: x≥-1

Range: all real numbers

c)

Domain: all real numbers

Range: y ≤-1

d)

Domain: x≤-1

Range: all real numbers

28.

What are the domain and range?
y=|x-4|-1

a)

Domain: all real numbers
Range: y≥-1

b)

Domain: x≥-1
Range: all real numbers

c)

Domain: all real numbers
Range: y ≤-1

d)

Domain: x≤-1
Range: all real numbers

29.

What is the solution set?

a)

{-4,4}

b)

{-2,2}

c)

{0,4}

d)

No real solutions!

30.

A parabola has an axis of symmetry at x=6 and a minimum at y=-4. Which could be the equation of the parabola?

a)

y=-x²-12x-32

b)

y=-x²+12x-32

c)

y=x²+12x+32

d)

y=x²-12x+32

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