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how do you analyze functionsf(x)=7e to exponent .5xg(x) 3x squared +7x-4if you can explain ysing different numbers that works also

how do you analyze functionsf(x)=7e to exponent .5xg(x) 3x squared +7x-4if you can-example-1
how do you analyze functionsf(x)=7e to exponent .5xg(x) 3x squared +7x-4if you can-example-1
how do you analyze functionsf(x)=7e to exponent .5xg(x) 3x squared +7x-4if you can-example-2
User Olexii Muraviov
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1 Answer

14 votes
14 votes

The general formula for an exponential function is f(x) = ae^rt while the general form of a quadratic equation is f(x) = ax^2 + bx + c

Thus,

f(x) = 7e^0.5x is an exponential function and

g(x) = 3x^2 + 7x - 4 is a quadratic function

Let us substitute values of x into each function and compare the growth rates

For x = 1,

f(1) = 7e^0.5 = 11.4

g(1) = 3(1)^2 + 7(1) - 4 = 3 + 7 - 4 = 6

For x = 2,

f(1) = 7e^2(0.5) = 19

g(1) = 3(2)^2 + 7(2) - 4 = 12 + 14 - 4 = 22

For x = 3,

f(3) = 7e^3(0.5) = 31

g(1) = 3(3)^2 + 7(3) - 4 = 27 + 21 - 4 = 44

We can see that g(x) is increasing at a faster rate than f(x).

User Loupax
by
3.4k points
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