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Answered

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Which is the graph of f (x) = f (one-half) 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, 4) 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, 4) and goes through (2, 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, 2) 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, 2) and goes through (1, 0.5).

Sagot :

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Answer:

B, the second graph

Step-by-step explanation:

The function on a graph has to pass through the points (0, 4) and (2, 1), that's the one you should pick

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By analyzing the given exponential function, we will see that the correct option is the third one.

How to find the graph of the given function?

The function is:

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

So, we have a value smaller than 1 and larger than zero with the exponent x. This means that for really small values of x, the outcome will be very large, while for large values of x, the outcome will tend to zero. So this is an exponential decay.

When evaluated in zero we have:

f(0) = 2*(1/2)^0 = 2

So it crosses through the point (0, 2).

And when evaluated in x = 1, we have:

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

Then it also passes through (1, 1).

Then the correct option is the third one:

"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, 2) and goes through (1, 1)."

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

https://brainly.com/question/11464095

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