EOC Study Guide Extra Function Families

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 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

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].

Consider this function for cell duplication. The cells duplicate every minute.

f(x) = 75(2)^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.

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

• (0,-4)

• (0,-3)

• (0,1)

• (0,2)

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

• $\left(-3,4\right)$

• $\left(-3,\infty\right)$

• $\left(-\infty,\ 4\right)$

• $\left(-\infty,\infty\right)$

Which function is modeled in this table?

• $f\left(x\right)=x+7$

• $f\left(x\right)=5x+8$

• $f\left(x\right)=\left(8\right)^x$

• $f\left(x\right)=\frac{8}{5}\left(5\right)^x$

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

• $f\left(x\right)=4x^2-20$

• $f\left(x\right)=4^x-20$

• $f\left(x\right)=4x-20$

• $f\left(x\right)=4x^2+12x-20$

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

•  $f\left(x\right)=\frac{3}{4}x+5$  

•  $f\left(x\right)=-x^2+\frac{3}{4}$  

•  $f\left(x\right)=x^2-\frac{3}{4}$  

•  $f\left(x\right)=\frac{3}{4}-5x$