Questions: Use the graphing window below to graph the function f(x) = 3/2 * 5^x Choose the coordinates of two points, shown in red, to plot f(x).

Solution Steps

The given function is \( f(x) = \frac{3}{2} \cdot 5^x \). This is an exponential function where the base is 5 and the coefficient is \(\frac{3}{2}\).

To graph the function, we need to choose two points. Let's choose \( x = 0 \) and \( x = 1 \) to find the corresponding \( y \)-values.

Substitute \( x = 0 \) into the function: \[ f(0) = \frac{3}{2} \cdot 5^0 = \frac{3}{2} \cdot 1 = \frac{3}{2} = 1.5 \] So, the point is \( (0, 1.5) \).

Substitute \( x = 1 \) into the function: \[ f(1) = \frac{3}{2} \cdot 5^1 = \frac{3}{2} \cdot 5 = \frac{15}{2} = 7.5 \] So, the point is \( (1, 7.5) \).

Final Answer