Question

Which is the graph of g(x) = (two-thirds) Superscript x – 2?

On a coordinate plane, an exponential function decreases from quadrant 2 into quadrant 1 and approaches y = 0. It crosses the y-axis at (0, 2.25)
On a coordinate plane, an exponential function decreases from quadrant 2 into quadrant 1 and approaches y = 0. It crosses the y-axis at (0, 0.44)
On a coordinate plane, an exponential function decreases from quadrant 2, through quadrant 3, into quadrant 4 and approaches y = negative 2. It crosses the y-axis at (0, negative 1)
On a coordinate plane, an exponential function decreases from quadrant 2 into quadrant 1 and approaches y = 2. It crosses the y-axis at (0, 3)

Answer 1

Answer:

-2 , 0.25

-1 , -0.5

0 , -1

1 , -1.333

2 , -1.556

Step-by-step explanation:

Answer 2

By checking the y-intercept, we will see that the correct option is the first graph.

How to find the graph of the function?

Here we have the function:

g(x) = (2/3)^(x - 2).

To see which one is the correct graph, first we should evaluate it in x = 0, we will get:

g(0) = (2/3)^(-2) = (3/2)^2 = 9/4 = 2.25

The only graph that intercepts the y-axis at y = 2.25 is the first one, so that is the correct option.

If you want to learn more about exponential functions, you can read:

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