Question

is the function $y = 4^x - \frac{9}{2}$ linear or nonlinear? linear nonlinear

Explanation:

Step1: Recall linear function form

A linear function has the form \( y = mx + b \), where \( m \) and \( b \) are constants, and the exponent of \( x \) is 1.

Step2: Analyze given function

The function is \( y = 4^{x}-\frac{9}{2} \). Here, the variable \( x \) is in the exponent (\( 4^{x} \)), not in the form \( mx + b \) with \( x \) to the first power. So it doesn't match the linear function form.

Answer:

nonlinear