Question

Which is the graph of f (x) = 3 (two-thirds) Superscript x?

On a coordinate plane, an exponential decay function decreases from quadrant 2 into quadrant 1 and approaches y = 0. It crosses the y-axis at (0, 6) and goes through (1, 4).

On a coordinate plane, an exponential decay function decreases from quadrant 2 into quadrant 1 and approaches y = 0. It crosses the y-axis at (0, 6) and goes through (1, 2).

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

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

Answer 1

The correct option is D;On a coordinate plane, an exponential decay function decreases from quadrant 2 into quadrant 1 and approaches y = 0. It crosses the y-axis at (0, 3) and goes through (1, 2).

What is graph?

A graph contains data of which input maps to which output.

Analysis of this leads to the relations which were used to make it.

The graph of  $f(x) = 3(\dfrac{2}{3} )^x$ is given below.

When evaluated in zero we have:

f(0) = 3*(2/3)^0 = 3

So it crosses through the point (0, 3).

And when evaluated in x = 1, we have:

f(1) = 3*(2/3)^1 = 2

Then it also passes through (1, 2).

From the given graph, we can see that The correct option is D;

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

Learn more about graphs;

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