Free Printable Features of Function Graphs

1.

What function family does the graph shown belong to?

a)

Linear

b)

Quadratic

c)

Exponential

d)

Absolute Value

2.

What function family does this graph belong to?

a)

Square root

b)

Reciprocal

c)

Exponential

d)

Quadratic

3.

Which graph shows a rational function?

a)

b)

c)

d)

4.

Which graph below is in the same function family as $f\left(x\right)=\sqrt[3]{4x-5}$ ?

a)

b)

c)

d)

5.

Which function is linear?

a)

$y=3x+1$

b)

$y=2x^2+7x+1$

c)

$y=4^x$

d)

$y=2x^{3^{ }}+9$

6.

Which function is quadratic?

a)

$y=4x-1$

b)

$y=3^x+2$

c)

$y=x^2+4x+4$

d)

$y=3x^4+5$

7.

Does the graph have a maximum or minimum?

a)

max

b)

min

c)

neither

d)

both

8.

Does this graph have an absolute maximum or minimum?

a)

Neither

b)

Absolute Maximum

c)

Absolute Minimum

9.

What family does the pictured graph belong to?

a)

Square root

b)

Linear

c)

Quadratic

d)

Absolute value

10.

Which of the following functions has a range of $y\le0$ ?

a)

b)

c)

d)

11.

For the graph shown, complete the following end behavior:
As x --> -∞, f(x) --> ____
As x --> +∞, f(x) --> ____

a)

-∞
-∞

b)

+∞
-∞

c)

-∞
+∞

d)

+∞
+∞

12.

In the above graph complete the following end behavior: (f(x)=y)
As x --> -∞, f(x) --> ____
As x --> +∞, f(x) --> ____

a)

-∞
-∞

b)

+∞
-∞

c)

-∞
+∞

d)

+∞
+∞

13.

Describe the end behavior of the graph.

a)

x → -∞, f(x) → ∞ and x→∞, f(x) →⁻∞

b)

x → -∞, f(x) → ∞ and x→∞, f(x) →∞

c)

x → -∞, f(x) → ∞ and x→∞, f(x) → 0

d)

x → -∞,f(x) → -∞and x→ ∞, f(x) → ∞

14.

Describe the end behavior of the graph.

a)

x → ∞, y → ∞ and
x → ∞, y → 4

b)

x → ∞, y → ∞ and
x → ⁻∞, y → -∞

c)

None of these

d)

x → 4 , y → ∞ and
x→ ∞, y → ⁻∞

15.

What is the DOMAIN of this graph?

a)

x < -3

b)

x ≤ -3

c)

x > -3

d)

x ≥ -3

16.

What is the domain of the graph?

a)

x ≥ -6

b)

-7 ≤ x ≤ 3

c)

-8 ≤ x ≤ 4

d)

x ≤ -6

e)

All real numbers

17.

What is the domain of the graph?

a)

y≥1

b)

x ≥ 1

c)

All real numbers

d)

none of these

18.

What is the range of the graph?

a)

y≥1

b)

x≥1

c)

All real numbers

d)

none of these

19.

What is the range of the graph?

a)

(-∞,∞)

b)

[-1,0]

c)

[-1,3]

d)

[3,∞)

20.

What is the x-intercept shown on the graph?

a)

(2, 0)

b)

(-2, 0)

c)

(0, 3)

d)

(3, 0)

21.

What is the y-intercept shown on the graph?

a)

(0, -2)

b)

(3, 0)

c)

(0, 3)

d)

None of these.

22.

Which statement is true regarding the piecewise graph shown?

a)

The graph is continuous.

b)

The graph is discontinuous.

c)

f(1) = 3

d)

The range is all real numbers.

23.

The graph of the greatest integer function appears to...

a)

have a vertical asymptote

b)

have a horizontal asymptote

c)

have multiple points of discontinuity

d)

be continuous

24.

The blue dot on this graph represents a(n)...

a)

Global Maximum

b)

Global Minimum

c)

Local Maximum

d)

Local Minimum

25.

What is the increasing interval on the function shown?

a)

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

b)

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

c)

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

d)

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

26.

What is(are) the increasing interval(s) for the function shown?

a)

$\left(-\infty,\ -3\right)\ and\ \left(0.25,\ 1\right)$

b)

$\left(-3,\ 10\right)\$

c)

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

d)

$\left(-3,\ 0.25\right)\ and\ \left(1,\ \infty\right)$

27.

What are the asymptotes?

a)

x=-2 and y=-1

b)

x=-2 and y=1

c)

x=2 and y=1

d)

x=2 and y = -1

28.

Which of these is NOT an asymptote on this graph?

a)

x=-3

b)

x=3

c)

y=2

d)

y=-3

29.

What is the equation of the horizontal asymptote of the given function?

a)

y = 2

b)

x = 1

c)

There is no asymptote

d)

y = 5

30.

Which graph below has a discontinuity?

a)

b)

c)

d)

Features of Function Graphs

Total questions: 30

Worksheet time: 59mins

Similar Resources on Wayground