Question

Graph the function y=5(1/4)^x. Complete the ordered pairs for the x-values of −2, −1, 0, and 1 by finding the y-values.

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the y-values for the given x-values, we can substitute each x-value into the equation and compute the corresponding y-value.

For x = -2:
y = 5(1/4)^x = 5(1/4)^(-2) = 5(4^2/1) = 5(16) = 80
So, the ordered pair is (-2, 80).

For x = -1:
y = 5(1/4)^x = 5(1/4)^(-1) = 5(4/1) = 5(1/4) = 5/4
So, the ordered pair is (-1, 5/4) or (-1, 1.25).

For x = 0:
y = 5(1/4)^x = 5(1/4)^0 = 5(1) = 5
So, the ordered pair is (0, 5).

For x = 1:
y = 5(1/4)^x = 5(1/4)^1 = 5(1/4) = 5/4
So, the ordered pair is (1, 5/4) or (1, 1.25).

The ordered pairs for the x-values -2, -1, 0, and 1 are (-2, 80), (-1, 5/4) or (-1, 1.25), (0, 5), and (1, 5/4) or (1, 1.25).
The graph of the function y = 5(1/4)^x will pass through these points.