Questions: What is the y-intercept of f(x) = (3/5)^x ? A. (0,0) B. (1,0) C. (0,1) D. (1, 3/5)

Solution Steps

The question asks for the \( y \)-intercept of the function \( f(x) = \left(\frac{3}{5}\right)^{x} \). The \( y \)-intercept occurs when \( x = 0 \).

Substitute \( x = 0 \) into \( f(x) \): \[ f(0) = \left(\frac{3}{5}\right)^{0} \]

Any non-zero number raised to the power of 0 is 1. Therefore: \[ f(0) = 1 \]

The \( y \)-intercept is the point where \( x = 0 \) and \( y = f(0) \). Thus, the \( y \)-intercept is \( (0, 1) \).

Final Answer