Question

The functions f and g are shown below f(c) = 5ˣ -4 which of the following statements is true?

1) f(c) is a linear function
2) f(c) is an exponential function
3) f(c) is a quadratic function
4) f(c) is a constant function

Answer 1

The function f(c) = 5^c - 4 is an exponential function because the variable is the exponent of a constant base.

Step-by-step explanation:

The function f(c) = 5c - 4 is an exponential function because the variable, c, is the exponent of a constant base, 5. In general, exponential functions have the form f(x) = ax, where a is a constant and x appears as an exponent. This is contrasted with linear functions of the form y = mx + b, quadratic functions of the form y = ax2 + bx + c, and constant functions where the output is the same regardless of the input value. Therefore, statement 2) f(c) is an exponential function, and is the correct characterization of f(c).