Questions: Classify the function as linear, quadratic, or exponential. f(x)=4^x The function is □

Solution Steps

To classify the function, we need to identify its form. A linear function has the form \( f(x) = ax + b \), a quadratic function has the form \( f(x) = ax^2 + bx + c \), and an exponential function has the form \( f(x) = a \cdot b^x \). The given function \( f(x) = 4^x \) matches the form of an exponential function.

The given function is \( f(x) = 4^x \). To classify it, we need to compare it with the standard forms of linear, quadratic, and exponential functions.

• A linear function has the form \( f(x) = ax + b \).
• A quadratic function has the form \( f(x) = ax^2 + bx + c \).
• An exponential function has the form \( f(x) = a \cdot b^x \).

The function \( f(x) = 4^x \) matches the form of an exponential function, where \( a = 1 \) and \( b = 4 \).

Final Answer