Question

Graph the function y=3(5)^x
. What is the y-value if x=−6
?(1 point)
(−6
,
)

Answer 1

To find the y-value of the function \( y = 3(5)^x \) when \( x = -6 \), we can substitute -6 for \( x \) in the equation.

\[
y = 3(5)^{-6}
\]

Now, calculate \( (5)^{-6} \):

\[
(5)^{-6} = \frac{1}{(5)^6}
\]

Next, calculate \( (5)^6 \):

\[
(5)^6 = 15625
\]

Now substituting back:

\[
(5)^{-6} = \frac{1}{15625}
\]

Now, substitute this back into the equation for \( y \):

\[
y = 3 \cdot \frac{1}{15625} = \frac{3}{15625}
\]

Thus, when \( x = -6 \):

\[
y = \frac{3}{15625}
\]

The coordinates of the point are:

\[
(-6, \frac{3}{15625})
\]

So the answer is:

\[
(-6, \frac{3}{15625})
\]