Question

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

g(x) = 10x + 15

f(x) = 2•3^x

h(x) = 5x^2 + x + 10

Answer 1

The answer is g(x) = 10x + 15

Explanation:

Given;

• g(x) = 10x + 15
• f(x) = 2•3ˣ
• 5x² + x + 10

To Find;

• function grows at the fastest rate for increasing values of x.

Here, If we assume the value of x is 1 we get,

g(x) = 10x + 15

g(1) = 10(1) + 15

g(1) = 10 + 15

g(1) = 35

Here, We get the answer 35.

Now,

f(x) = 2•3ˣ

f(1) = 2•3¹

f(1) = 2•3

f(1) = 6

Here, We get the answer 6.

Now,

h(1) = 5x² + x + 10

h(1) = 5(1)² + 1 + 10

h(1) = + 5 + 1 + 10

h(1) = + 16

Thus, The answer is g(x) = 10x + 15.

-TheUnknownScientist 72