What is the Y-intercept of Y = 1/5(2)^x

Answer 1

To find the y-intercept of the function \( Y = \frac{1}{5}(2)^x \), we need to evaluate the function at \( x = 0 \).

Substituting \( x = 0 \) into the equation:

\[ Y = \frac{1}{5}(2)^0 \]

Since \( (2)^0 = 1 \):

\[ Y = \frac{1}{5} \times 1 = \frac{1}{5} \]

Thus, the y-intercept is \(\frac{1}{5}\). This means that the point where the graph crosses the y-axis is \((0, \frac{1}{5})\).