Question

Plot 5 points on a graph of this function. f(x)= (4/5) to the power of x

Answer 1

To plot the function f(x) = (4/5)^x, we need to choose five different values of x and find the corresponding y-values.

Let's select the following values for x: -2, -1, 0, 1, and 2.

For x = -2:
f(-2) = (4/5)^(-2) = 25/16 ≈ 1.5625
So, the point (-2, 1.5625) is plotted.

For x = -1:
f(-1) = (4/5)^(-1) = 5/4 = 1.25
Thus, the point (-1, 1.25) is plotted.

For x = 0:
f(0) = (4/5)^0 = 1
Hence, the point (0, 1) is plotted.

For x = 1:
f(1) = (4/5)^1 = 4/5 = 0.8
The point (1, 0.8) is plotted.

For x = 2:
f(2) = (4/5)^2 = 16/25 = 0.64
Therefore, the point (2, 0.64) is plotted.

Finally, the five plotted points on the graph of the function f(x) = (4/5)^x are: (-2, 1.5625), (-1, 1.25), (0, 1), (1, 0.8), and (2, 0.64).