Quiz about Graphing Logarithms

Question 1

What is the relationship between Logarithm and Exponential Graphs?

Accepted Answer

They're inverses

Answer

They're the same

Answer

They're married

Answer

It's complicated

Question 2

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

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 3

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

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 4

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

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 5

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

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 6

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

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 7

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

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 8

Match the graph with its equation

Accepted Answer

y = log₅ (x + 1) + 1

Answer

y = log₅ (x - 1) + 1

Answer

y = log₅ (x²) + 1

Answer

y = log₅ (x) - 1

Question 9

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

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 10

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

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 11

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

Accepted Answer

$$\left(3.25,0\right)$$

Answer

$$\left(0,3.25\right)$$

Answer

$$\left(3.5,0\right)$$

Answer

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

Question 12

Match the graph with its equation

Accepted Answer

y = log₅ (x + 1) + 1

Answer

y = log₅ (x - 1) + 1

Answer

y = log₅ (x²) + 1

Answer

y = log₅ (x)-1

Question 13

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

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 14

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

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 15

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

Accepted Answer

$$\left(22,0\right)$$

Answer

$$\left(0,32\right)$$

Answer

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

Answer

$$\left(27,0\right)$$

Question 16

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

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 17

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

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 18

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

Accepted Answer

$$\left(262,0\right)$$

Answer

$$\left(64,0\right)$$

Answer

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

Answer

$$\left(256,0\right)$$

Question 19

Match the graph with its equation

Accepted Answer

y = log₅ (x + 1) + 1

Answer

y = log₅ (x - 1) + 1

Answer

y = log₅ (x²) + 1

Answer

y = log₅ (x) - 1

Question 20

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

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 21

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

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 22

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

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 23

Match the graph with its equation

Accepted Answer

y = log₄ (x + 2) + 1

Answer

y = log₄ (x)+2

Answer

y = log₄ (x - 1) + 2

Answer

y = log₄ (-x + 2)

Graphing Logarithms

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