Question

Evaluate the function y= -3 (1/4) for x =-3 on top of the 1/4 is where the x goes. so it is 1/4 x

Answer 1

$\text{Consider the function}\\ \\ y=-3\left ( \frac{1}{4} \right )^x\\ \\ \text{now to evaluate the value of the function at }x=-3, \text{ we substitute}\\ x=-3 \text{ in the given function and solve further for y.}\\ \\ \text{so we get}\\ \\ y=-3\left ( \frac{1}{4} \right )^{-3}\\ \\ \text{now using the exponent property, }\left ( \frac{1}{a} \right )^{-m}=(a)^m, \text{ we get}\\ \\ y=-3(4)^{3}\\ \\ \Rightarrow y=-3(64)\\ \\ \Rightarrow y=-192$

so the value of the function at x=-3 is -192