Graph the function y=5(14)x. Complete the ordered pairs for the x-values of −2, −1, 0, and 1 by finding the y-values.
To find the y-values for the x-values of -2, -1, 0, and 1, we substitute these x-values into the equation y = 5(14)^x.
For x = -2:
y = 5(14)^(-2)
= 5(1/14^2)
= 5/196
For x = -1:
y = 5(14)^(-1)
= 5(1/14)
= 5/14
For x = 0:
y = 5(14)^0
= 5(1)
= 5
For x = 1:
y = 5(14)^1
= 5(14)
= 70
The ordered pairs of the x-values -2, -1, 0, and 1 and their corresponding y-values are: (-2, 5/196), (-1, 5/14), (0, 35), (1, 70).
Here is a graph of the function y = 5(14)^x:
{{{ graph( 300, 200, -3, 3, -100, 200,5*(14)^x) }}}