Question

circle all the statements that are true about the exponential function y = 5 * 3^x. a. y - intercept 5 b. constant multiplier 3 c. y - intercept 3 d. constant multiplier 5

Explanation:

Step1: Find the y - intercept

The y - intercept of a function \(y = f(x)\) is found by setting \(x = 0\). For \(y=5\cdot3^{x}\), when \(x = 0\), \(y=5\cdot3^{0}\). Since any non - zero number to the power of 0 is 1 (\(a^{0}=1,a
eq0\)), then \(y = 5\times1=5\).

Step2: Identify the constant multiplier

In an exponential function of the form \(y = a\cdot b^{x}\), the constant multiplier is \(b\). For \(y = 5\cdot3^{x}\), the constant multiplier is 3.

Answer:

A. y - intercept 5, B. constant multiplier 3