Unit 5 Algebra EOC Review

Which scatter plot BEST represents a model of linear growth?

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Which scatter plot BEST represents a model of exponential growth?

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Which table represents an exponential function?

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Which statement compares the graphs of f(x) and g(x) over the interval [0, 5]?

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

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

• C. 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).

• D. 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).

Which statement is true about the graphs of exponential functions?

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

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

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

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

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

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

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

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

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

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

• A. −9

• B. –3/2

• C. −2

• D. –2/3

Consider this function for cell duplication. The cells duplicate every minute. f(x) = 75(2)^x

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

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

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

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

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

• A. (0, –4)

• B. (0, –3)

• C. (0, 1)

• D. (0, 2)

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

• A. (–3, 4)

• B. (–3, ∞)

• C. (–∞, 4)

• D. (–∞, ∞)