EOC Review Part 5

Multiple Choice

Which scatter plot BEST represents a model of exponential growth?

• Graph A

• Graph B

• Graph C

• Graph D

Multiple Choice

Which scatter plot best represents a model of linear growth?

• Graph A

• Graph B

• Graph C

• Graph D

Multiple Choice

Which table represents an Exponential Function?

• A

• B

• C

• D

Multiple Choice

A table of values is shown for f(x) and g(x). Which statement compares the graphs of f(x) and g(x) over the interval [0, 5]?

• The graph of f(x) always exceeds the graph of g(x) over the interval [0, 5].

• The graph of g(x) always exceeds the graph of f(x) over the interval [0, 5].

• The graph of g(x) exceeds the graph of f(x) over the interval [0, 4], the graphs intersect at a point between 4 and 5, and then the graph of f(x) exceeds the graph of g(x).

• The graph of f(x) exceeds the graph of g(x) over the interval [0, 4], the graphs intersect at a point between 4 and 5, and then the graph of g(x) exceeds the graph of f(x).

Multiple Choice

Which statement is true about the graphs of exponential functions?

• The graphs of exponential functions never exceed the graphs of linear and quadratic functions.

• The graphs of exponential functions always exceed the graphs of linear and quadratic functions.

• The graphs of exponential functions eventually exceed the graphs of linear and quadratic functions.

• The graphs of exponential functions eventually exceed the graphs of linear functions but not quadratic functions.

Multiple Choice

Which statement BEST describes the comparison of the function values for f(x) and g(x)?

• The values of f(x) will always exceed the values of g(x)

• The values of g(x) will always exceed the values of f(x)

• The values of f(x) exceed the values of g(x) over the interval [0, 5].

• The values of g(x) begin to exceed the values of f(x) within the interval [4, 5].

Multiple Choice

If the parent function is f(x) = mx + b, what is the value of m for the line passing through the points (-2, 7) and (4, 3)?

• -9

• -3/2

• -2

• -2/3

Multiple Choice

Consider this function for cell duplication. The cells duplicate every minute. Describe the parameters of this function. $$f\left(x\right)=75\left(2\right)^x$$

• The 75 is the initial number of cells, and the 2 indicates that the number of cells doubles every minute.

• The 75 is the initial number of cells, and the 2 indicates that the number of cells increases by 2 every minute.

• The 75 is the number of cells at 1 minute, and the 2 indicates that the number of cells doubles every minute.

• The 75 is the number of cells at 1 minute, and the 2 indicates that the number of cells increases by 2 every minute.

Multiple Choice

What is the y-intercept of the graph of $$h(x)=2^x-4$$ ?

• (0, -4)

• (0, -3)

• (0, 1)

• (0, 2)

Multiple Choice

What is the range of the graph of f(x) = -3(x – 4)?

• (-3, 4)

• (-3, ∞)

• (-∞, 4)

• (-∞, ∞)

Multiple Choice

Which function is modeled in this table?

• f(x) = x + 7

• f(x) = 5x + 8

• $$f(x)=(8)^x$$

• $$f(x)=\frac{8}{5}(5)^x$$

Multiple Choice

If f(12) = 4(12) – 20, which function gives f(x)?

• $$f(x)=4x^2-20$$

• $$f(x)=4^x-20$$

• f(x) = 4x – 20

• $$f(x)=4x^2+12x-20$$

Multiple Choice

Which function has a range of $$f(x)\le\frac{3}{4}?$$ ?

• A. f(x) = ¾x + 5

• $$f(x)=-x^2+\frac{3}{4}$$

• $$f(x)=x^2-\frac{3}{4}$$

• f(x) = ¾ - 5x

Multiple Choice

The graph shows the height, y, in meters, of a rocket above sea level in terms of the time, t, in seconds, since it was launched. The rocket landed at sea level. What does the x-intercept represent in this situation?

• The height from which the rocket was launched

• The time it took the rocket to return to the ground

• The total distance the rocket flew while it was in flight

• The time it took the rocket to reach the highest point in its flight