Free Printable Graphing Logarithms

1.

What is the relationship between Logarithm and Exponential Graphs?

a)

They're the same

b)

They're inverses

c)

They're married

d)

It's complicated

2.

What is the domain of $y=\log_3\left(x-3\right)-2$

a)

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

b)

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

c)

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

d)

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

3.

What is the range of $y=\log_3\left(x-3\right)-2$

a)

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

b)

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

c)

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

d)

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

4.

What is the x-Intercept of $y=\log_3\left(x-3\right)-2$

a)

$\left(0,12\right)$

b)

$\left(12,0\right)$

c)

$\left(-12,0\right)$

d)

$\left(0,12\right)$

5.

Match the graph with its equation

a)

y = log₆(-x) + 1

b)

y = log₆(x − 2) + 1

c)

y = log₆(x + 2) - 1

d)

y = log(x-8) + 1

6.

What is the domain of $y=\log_2\left(x\right)-2$

a)

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

b)

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

c)

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

d)

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

7.

What is the range of $y=\log_2\left(x\right)-2$

a)

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

b)

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

c)

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

d)

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

8.

What is the x-intercept of $y=\log_2\left(x\right)-2$

a)

$\left(4,0\right)$

b)

$\left(0,4\right)$

c)

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

d)

$\left(2,0\right)$

9.

Match the graph with its equation

a)

y = log₅ (x + 1) + 1

b)

y = log₅ (x - 1) + 1

c)

y = log₅ (x²) + 1

d)

y = log₅ (x) - 1

10.

What is the domain of $y=\log_{\frac{1}{2}}\left(x-3\right)+2$

a)

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

b)

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

c)

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

d)

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

11.

What is the range of $y=\log_{\frac{1}{2}}\left(x-3\right)+2$

a)

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

b)

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

c)

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

d)

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

12.

What is the x-intercept of $y=\log_{\frac{1}{2}}\left(x-3\right)-2$

a)

$\left(3.25,0\right)$

b)

$\left(0,3.25\right)$

c)

$\left(3.5,0\right)$

d)

$\left(2,0\right)$

13.

Match the graph with its equation

a)

y = log₅ (x + 1) + 1

b)

y = log₅ (x - 1) + 1

c)

y = log₅ (x²) + 1

d)

y = log₅ (x)-1

14.

What is the domain of $y=\log_3\left(x+5\right)-3$

a)

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

b)

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

c)

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

d)

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

15.

What is the range of $y=\log_3\left(x+5\right)-3$

a)

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

b)

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

c)

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

d)

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

16.

What is the x-intercept of $y=\log_3\left(x+5\right)-3$

a)

$\left(0,32\right)$

b)

$\left(22,0\right)$

c)

$\left(-3,0\right)$

d)

$\left(27,0\right)$

17.

Match the graph with its equation

a)

y = log₆(-x) + 1

b)

y = log₆(x − 2) + 1

c)

y = log₆(x + 2) - 1

d)

y = log(x-8) + 1

18.

What is the domain of $y=\log_4\left(x-6\right)-4$

a)

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

b)

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

c)

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

d)

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

19.

What is the range of $y=\log_4\left(x-6\right)-4$

a)

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

b)

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

c)

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

d)

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

20.

What is the x-intercept of $y=\log_4\left(x-6\right)-4$

a)

$\left(262,0\right)$

b)

$\left(64,0\right)$

c)

$\left(4,0\right)$

d)

$\left(256,0\right)$

21.

Match the graph with its equation

a)

y = log₅ (x + 1) + 1

b)

y = log₅ (x - 1) + 1

c)

y = log₅ (x²) + 1

d)

y = log₅ (x) - 1

22.

What is the domain of $y=\log_{\frac{1}{2}}\left(x+3\right)$

a)

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

b)

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

c)

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

d)

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

23.

What is the range of $y=\log_{\frac{1}{2}}\left(x+3\right)$

a)

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

b)

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

c)

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

d)

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

24.

What is the x-intercept of $y=\log_{\frac{1}{2}}\left(x+3\right)$

a)

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

b)

$\left(3,0\right)$

c)

$\left(2,0\right)$

d)

$\left(-8,0\right)$

25.

Match the graph with its equation

a)

y = log₄ (x)+2

b)

y = log₄ (x + 2) + 1

c)

y = log₄ (x - 1) + 2

d)

y = log₄ (-x + 2)

Graphing Logarithms

Total questions: 25

Worksheet time: 18mins

Similar Resources on Wayground