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 \( x \):

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

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

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

Now, we need to calculate \( 5^6 \):

\[
5^6 = 15625
\]

Thus,

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

Now we can complete our calculation for \( y \):

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

Now, placing this value into the point:

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

The y-value when \( x = -6 \) is \( \frac{3}{15625} \). Therefore, the point is:

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