Exponential Functions Quiz

The function g is a function of the form g(x) = a • b^x , where a ≠ 0 and b>0. The function f is given by f(x) = g(x) + 4. Which of the following statements is true?

The output values of g only, not f, are proportional over equal-length input-value intervals.

The value (2 • 2 • 2 • 2 • 2 • 4.7) is the output value of an exponential function of the form f(x) = a • b^x , where a and b are constants. Which of the following describes the function and input values that corresponds to this output value?

The exponential function has an initial value of 4.7 and a base of 2, and the input value is 5

The function f is given by f(x) = 5 • (0.7)^x . Which of the following describes f?

The function f models exponential decay and lim x→∞ f(x) = 0.

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