Question

Which function grows at the fastest rate for increasing values of x?

g(x)=50x+35

f(x)=5⋅3x

h(x)=6x2+5x+20

Answer 1

B.
`f(x)=5\cdot 3^x`

Explanation:

We have been given 3 function formulas and we are asked to choose the function that grows at the fastest rate for increasing values of x.

Since we know that quadratic function grows faster than a linear function and an exponential function grows faster than a quadratic function, so the function of an exponential function will have the fastest rate for increasing value of x.

Since an exponential function is in form:
`y=a*b^x`.

Upon looking at our given choices we can see that function represented by option A is a linear function and function represented by option C is a quadratic function.

Upon looking at our given choices we can see that function:
`f(x)=5\cdot 3^x` is an exponential function, therefore, option B is the correct choice.

Answer 2

The answer is f(x)=5⋅3^x so B

Source: just took the test