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In-s [12.5K]
2 years ago
8

Which function is a shrink of the exponential growth function shown on the graph?.

Mathematics
1 answer:
ale4655 [162]2 years ago
3 0

Step-by-step explanation:

An exponential function is represented by function,

y = a \times  {b}^{x}

Where a is the y intercept and b is the growth factor.

The graph passes through (0,1) which is our y intercept so a=1

Know let find b.

The graph pass through (1,3) so plug in 1 for x and 3 for y.

3 = a  \times 3 {}^{1}

a = 1

So our base function is

y = 1 \times 3 {}^{x}

In order for this function to shrink, we must shift the y intercept such that it is less than 1 but greater than -1.

So the only option is

y =  \frac{1}{2} (3) {}^{x}

Because 1/2<1

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