Quiz about Unit 8 Test Corrections

Question 1

Which statement about the graph of the function $$f\left(x\right)=35\left(1.4\right)^x$$

Accepted Answer

The y-intercept of the function is (0,35).

Answer

The x-intercept of the function is (1.4,0).

Answer

The graph of the function is decreasing for all values of x.

Answer

The asymptote of the function is y = 0.4.

Question 2

A sample of a substance with an initial mass of 963 grams is decaying at a rate of 27% per hour.

Create a function that can be used to find y, the mass of the substance in grams remaining after x hours.

Enter your answer in the space provided.

Accepted Answer

$$f\left(x\right)=963\left(.73\right)^x$$

Answer

$$f\left(x\right)=963\left(1.27\right)^x$$

Answer

$$f\left(x\right)=1.27\left(963\right)^x$$

Answer

$$f\left(x\right)=.73\left(963\right)^x$$

Question 3

A shipping company started with 40 employees. The number of employees at the shipping company increases at a rate of 7.5% each year.

Which function can be used to model the number of employees, f(x), at the shipping company after x years?

Accepted Answer

$$f\left(x\right)=40\left(1.075\right)^x$$

Answer

$$f\left(x\right)=43\left(1.075\right)^x$$

Answer

$$f\left(x\right)=43\left(.075\right)^x$$

Answer

$$f\left(x\right)=40\left(.075\right)^x$$

Question 4

The graph of a quadratic function is shown on grid. Which function is best represented by this graph?

Accepted Answer

$$h\left(x\right)=x^2-6x$$

Answer

$$h\left(x\right)=x^2-3x-9$$

Answer

$$h\left(x\right)=x^2+3x-9$$

Answer

$$h\left(x\right)=x^2+6x$$

Question 5

New houses are being built in a neighborhood. The table shows the exponential change in the number of houses in the neighborhood over the last 6 years. Which exponential function best models the data?

Accepted Answer

$$f\left(x\right)=18.9\left(1.4\right)^x$$

Answer

$$f\left(x\right)=1.4\left(18.9\right)^x$$

Answer

$$f\left(x\right)=27\left(1.3\right)^x$$

Answer

$$f\left(x\right)=1.3\left(27\right)^x$$

Question 6

Which graph represents $$f\left(x\right)=3\left(\frac{2}{3}\right)^x$$ ?

Accepted Answer

Option C is correct

Answer

A.

Answer

B.

Answer

D.

Question 7

Which expression is a factor of $$-6x^2-19x+20$$ ?

Accepted Answer

$$6x-5$$

Answer

$$3x-5$$

Answer

$$x-5$$

Answer

$$2x-5$$

Question 8

The initial value of a home is $200,000. The value of the home will increase at a rate of 6% each year.

Which graph best models this situation?

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Question 9

The table shows the value in dollars of a motorcycle at the end of x years. Which exponential function models this situation?

Accepted Answer

$$v\left(x\right)=9000\left(0.9\right)^x$$

Answer

$$v\left(x\right)=9000\left(1.1\right)^x$$

Answer

$$v\left(x\right)=8100\left(1.1\right)^x$$

Answer

$$v\left(x\right)=8100\left(0.9\right)^x$$

Question 10

A part of the exponential function is graphed on the grid. Which inequality best represents the domain of the part shown?

Accepted Answer

$$x>-2$$

Answer

$$x>1$$

Answer

$$y>1$$

Answer

$$y>-2$$

Question 11

The table shows the net revenue in millions of dollars of a company every three months for two years. An exponential function can be used to model the data. Which function best models the data?

Accepted Answer

$$f\left(x\right)=223.06\left(1.09\right)^x$$

Answer

$$f\left(x\right)=1.09\left(223.06\right)^x$$

Answer

$$f\left(x\right)=2232.91\left(.92\right)^x$$

Answer

$$f\left(x\right)=0.92\left(2232.91\right)^x$$

Unit 8 Test Corrections

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