Question

GIVING BRAINLIEST!!! Which function grows at the fastest rate for increasing values of x? YOU CAN CHOOSE MORE THAN 1 BTW
g(x)=10x+15
h(x)=5x2+x+10
f(x)=2⋅3x

Answer 1

Answer:

$f(x)=2\cdot 3^x$ has fastest rate for increasing value of x

Step-by-step explanation:

Given:

$g(x)=10x+15$

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

$f(x)=2\cdot 3^x$

We are given three function to choose fastest rate for increasing value of x .

$\text{Linear: }g(x)=10x+15$

g(x) is linear function because the power of x is 1.

$\text{Quadratic: }h(x)=5x^2+x+10$

h(x) is quadratic function because power of x is 2

$\text{Exponential :}f(x)=2\cdot 3^x$

f(x) is exponential function because x as power.

Order of rate of increasing of growth function for increasing value of x

Exponential > Quadratic > Linear

  f(x) > h(x) > g(x)

Please see the attachment for increasing order of function.

Hence, $f(x)=2\cdot 3^x$ has fastest rate for increasing value of x

Answer 2

Answer: f(x)=2•3^x

Step-by-step explanation: