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grandymaker [24]
3 years ago
13

Find the equation of the exponential function represented by the table below:

Mathematics
1 answer:
Hoochie [10]3 years ago
8 0

Answer:

f(x)=5(4)^x

Step-by-step explanation:

The exponential function is f(x)=ab^x.  a is the initial value of the function, or the y-value when x=0. In this case, a=5. If we enter that into the equation:

f(x)=5b^x

Then we can use another point to solve for b.

20=5b^1

Since anything raised to the power of 1 remains the same, we can continue to solve algebraically.

20=5b\\\frac{20}{5}=\frac{5b}{5}\\b=4

Now that we have both the a and b value, we can return to the exponential function and fill in the blanks.

f(x)=5(4)^x

I hope this helps!

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