Quiz about Test #4 Ch 9 Test

Question 1

Which sketch shows the inverse of y= $$a^x$$ , where 0

Accepted Answer

Question 2

Consider functions f(x)= $$\frac{4x\ +7}{9}$$ and g(x)= $$\frac{9x\ -\ 7}{4}$$ . Find $$\left(f\circ\ g\right)\ \left(x\right).$$

Accepted Answer

$$x$$

Answer

$$\frac{x-4}{9}$$

Answer

$$\frac{x\ +\ 7}{9}$$

Answer

$$\frac{9}{x\ +\ 7}$$

Question 3

What is the approximate value of $$\log_{11}\left(901\right)$$ ?

Accepted Answer

2.84

Answer

0.35

Answer

2.95

Answer

6.8

Question 4

What is the inverse of the function $$f\left(x\right)\ =\ \log_2\left(x+1\right)$$ ?

Accepted Answer

$$f^{-1}\left(x\right)=\ 2^x-1$$

Answer

$$f^{-1}\left(x\right)\ =\ x^2\ -1$$

Answer

$$f^{-1}\left(x\right)\ =\ \log_x\left(2x+2\right)$$

Answer

$$f^{-1}\left(x\right)\ =\ -\log_2\left(x\ +\ 1\right)$$

Question 5

What is the logarithmic form of $$e^5=\ 7x$$ ?

Accepted Answer

ln (7x) = 5

Answer

$$\ln\left(e^5\right)=7x$$

Answer

ln(5)=7

Answer

ln(7x) = $$e^5$$

Question 6

Olivia just graduated with an Associates degree and is working as a secretary in a firm earning $9.75 an hour. Her contract stipulates that she will get an annual raise of 6% until she reaches the rate of $15.50 an hour. How long would it take for Olivia to earn $15.50 an hour?

Accepted Answer

8 years

Answer

6 years

Answer

10 yrs

Answer

15 years

Question 7

Robbie is identifying the key features of the function $$f\left(x\right)\ =\ \log_9\left(5x-4\right)$$ . What are the x and y intercepts?

Accepted Answer

x-int. $$\left(1\ ,0\right)$$

Accepted Answer

No y-int.

Answer

y-int. $$\left(\frac{4}{5},0\right)$$

Answer

x-int. $$\left(\frac{4}{5},0\right)$$

Answer

y int. All real numbers.

Question 8

Robbie is identifying the key features of the function $$f\left(x\right)\ =\ \log_9\left(5x-4\right)$$ . Find the vertical asymptote of the given log.

Accepted Answer

$$x=\ \frac{4}{5}$$

Answer

$$x=-\frac{5}{4}$$

Answer

x=9

Answer

x=0

Question 9

The equation, $$C\ =\ 5\log_2\left(1+x\right)$$ , can be used to determine the channel capacity, C, in bits per second, for a bandwidth of 5 Hertz, where x is the sound to noise ratio, in Decibels, dB.

What is the sound to noise ratio for a channel capacity of 12 bits per second? Round your answer to the nearest hundredth.

Accepted Answer

4.27 dB

Answer

18.50bts

Answer

18.5 dB

Answer

32 bts

Question 10

Select all characteristics that apply to the graph of the function $$f\left(x\right)\ =\ \log_2\left(x-1\right)$$

Accepted Answer

The x-int. is at (2,0)

Accepted Answer

Vertical asymptote x=1

Accepted Answer

The domain is (1, $$\infty$$ )

Answer

The range is $$\lceil x,\ \infty$$ )

Answer

The horizontal asypmtote is x= 1

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