Quiz about Alg 2 Bridge - Unit 11 and 12 Group Skills Check - Exp/Log

Question 1

Solve: $$9^x=27^{\left(2x-1\right)}$$

Accepted Answer

3/4

Answer

3

Answer

-1/4

Answer

-4/3

Question 2

Solve: $$\ln\left(5x+12\right)=\ln\left(x\right)$$

Accepted Answer

-3

Answer

3

Answer

9

Answer

-6

Question 3

Solve: $$2^x=\frac{1}{16}$$

Accepted Answer

-4

Answer

-2

Answer

4

Answer

-8

Question 4

Solve: $$\log_3\left(x^2+3x-9\right)=2$$

Accepted Answer

-6

Accepted Answer

3

Answer

12

Answer

-3

Question 5

Solve: $$\log_9\left(-11x+2\right)=\log_9\left(x^2+30\right)$$

Accepted Answer

-7

Accepted Answer

-4

Answer

28

Answer

14

Question 6

Solve: $$\log_4\left(x^2+3x\right)=1$$

Accepted Answer

1

Accepted Answer

-4

Answer

-1

Answer

4

Question 7

Write the inverse of the function: $$f\left(x\right)=3^x$$

Accepted Answer

$$y=\log_3x$$

Answer

$$y=\log\left(x^3\right)$$

Answer

$$y=\log x$$

Answer

$$y=\sqrt[3]{x}$$

Question 8

Determine the intercept and asymptote of $$g\left(x\right)=\log_7\left(x\right)$$

Accepted Answer

(1,0) and x = 0

Answer

(0, 1) and x = 0

Answer

(0, 7) and y = 0

Answer

(7, 0) and x = 0

Question 9

Determine the intercept and asymptote of $$h\left(x\right)=\left(\frac{2}{3}\right)^x$$

Accepted Answer

(0, 1) and y = 0

Answer

(1,0) and x = 0

Answer

(0, 2) and y = 3

Answer

(3, 0) and y = 0

Question 10

Determine the intercept and asymptote of $$g\left(x\right)=\log_3\left(x\right)$$

Accepted Answer

(1,0) and x = 0

Answer

(0, 1) and x = 0

Answer

(0, 3) and y = 0

Answer

(3, 0) and x = 0

Question 11

Determine the intercept and asymptote of $$h\left(x\right)=8^x$$

Accepted Answer

(0, 1) and y = 0

Answer

(1,0) and x = 0

Answer

(0, 8) and y = 0

Answer

(8, 0) and y = 0

Question 12

Growth or decay?

$$y=\left(\frac{5}{7}\right)^x$$

Accepted Answer

Exponential DECAY

Answer

Exponential GROWTH

Question 13

Growth or decay?

$$y=\left(\frac{7}{2}\right)^x$$

Accepted Answer

Exponential GROWTH

Answer

Exponential DECAY

Question 14

Growth or decay?

$$y=\left(17\right)^x$$

Accepted Answer

Exponential GROWTH

Answer

Exponential DECAY

Question 15

Growth or decay?

$$y=\left(0.75\right)^x$$

Accepted Answer

Exponential DECAY

Answer

Exponential GROWTH

Question 16

Which points are on the graph of $$f\left(x\right)=4^x$$ ?

Accepted Answer

(0, 1)

Accepted Answer

(1, 4)

Accepted Answer

(2, 16)

Answer

(0, 4)

Question 17

Identify the domain, range, asymptote and intercept of: $$y=10^x$$

Accepted Answer

Domain: All reals

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

Asymptote: y = 0

Intercept: (0, 1)

Answer

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

Range: All reals

Asymptote: x = 0

Intercept: (10, 0)

Answer

Domain: All reals

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

Asymptote: x = 0

Intercept: (1, 0)

Answer

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

Range: All reals

Asymptote: y = 0

Intercept: (0, 10)

Question 18

Identify the domain, range, asymptote and intercept of: $$y=\ln x$$

Accepted Answer

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

Range: All reals

Asymptote: x = 0

Intercept: (1, 0)

Answer

Domain: All reals

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

Asymptote: x = 0

Intercept: (1, 0)

Answer

Domain: All reals

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

Asymptote: y = 0

Intercept: (0, e)

Answer

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

Range: All reals

Asymptote: y = 0

Intercept: (0, e)

Question 19

Identify the domain, range, asymptote and intercept of: $$y=\log_3x$$

Accepted Answer

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

Range: All reals

Asymptote: x = 0

Intercept: (1, 0)

Answer

Domain: All reals

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

Asymptote: x = 0

Intercept: (1, 0)

Answer

Domain: All reals

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

Asymptote: y = 0

Intercept: (0, 3)

Answer

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

Range: All reals

Asymptote: y = 0

Intercept: (0, 3)

Question 20

Identify the domain, range, asymptote and intercept of: $$y=e^x$$

Accepted Answer

Domain: All reals

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

Asymptote: y = 0

Intercept: (0, 1)

Answer

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

Range: All reals

Asymptote: x = 0

Intercept: (e, 0)

Answer

Domain: All reals

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

Asymptote: x = 0

Intercept: (1, 0)

Answer

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

Range: All reals

Asymptote: y = 0

Intercept: (0, e)

Question 21

How are exponential functions and logarithmic functions related? Choose the BEST answer.

Accepted Answer

They are inverse functions! (This means all x and y values are switched, domain and range are switched).

Answer

If you rearrange an exponential or log equation you can get the other type.

Answer

They have all of their values switched.

Answer

They both have asymptotes but one is horizontal and one is vertical.

Question 22

What is the inverse function of $$y=\log_2(x)$$ ?

Accepted Answer

$$y=2^x$$

Answer

$$y=\log_2(2^x)$$

Answer

$$y=\frac{1}{2^x}$$

Answer

$$y=\log_{\frac{1}{2}}(x)$$

Alg 2 Bridge - Unit 11 and 12 Group Skills Check - Exp/Log

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