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e.
5^0 = 1; 5^1 = 5; 5^2 = 25; 5^(-1) = 1/5; 5^(-2) = 1/25
This is an exponential function since the exponent is a variable.
Function: f(x) = 5^x
Recursive:
f.
Look at f(x) = x^2 for x = -2, -1, 0, 1, 2
f(-2) = 4
f(-1) = 1
f(0) = 0
f(1) = 1
f(2) = 2
Now look at the y-values in the table. They are the same we have here added to 5.
Your function is a quadratic function.
f(x) = x^2 + 5