Question

Evaluate the function rule for the given value. Y=6*4^x for x=-3

Answer 1

y = 6 x 4^x.         x = -3 

you change x in the equation for -3 

y= 6 x 4^ -3 

if you do it in the calculator, remember to put parenthesis in between -3 

y = 6 x 1/64

y =  3/32 or 0.09375

Answer 2

Answer:

$y = \frac{3}{32}$

Step-by-step explanation:

Using the exponent rule:

$a^{-n} = \frac{1}{a^n}$

Given the function:

$y = 6 \cdot (4)^x$              ......[1]

To evaluate the function rule for x = -3.

Substitute x = -3 in [1] we have;

$y = 6 \cdot (4)^{-3}$

⇒$y = 6 \cdot \frac{1}{4^3} = 6 \cdot \frac{1}{64}=\frac{3}{32}$

Therefore, the function rule for the given value when x = -3 is:

$y = \frac{3}{32}$