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3 years ago

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

Mathematics

2 answers:

Andreyy893 years ago

7 0

Take derivitive of each

f'(x)=9
g'(x)=4
h'(x)=12x

so duh, when x>0.75 then h(x) grows at fastest rate, after that. it just keeps going up

andrew11 [14]3 years ago

6 0

Answer:

$\text{Exponential Function: }g(x)=4^x$

B is correct.

Step-by-step explanation:

Given:

$\text{Linear Function: }f(x)=9x+14$

$\text{Exponential Function: }g(x)=4^x$

$\text{Quadratic Function: }h(x)=6x^2+1$

All the functions are specific function.

Growth rate of these function. ( If all are in same increasing )

Exponential > Quadratic > Linear

For increasing value of x

All three functions are increasing function.

Please see the attachment for graph for grow.

Hence, Exponential function grow fastest rate for increasing value of x is g(x)=4ˣ

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Answer:

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Step-by-step explanation:

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The formula of acceleration is $a=\frac{v_{f}-v_{i}}{t}$ , where

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∵ Jim goes from 70 meters/minute (beginning speed) to

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∴ His initial speed $v_{i}$ = 70 meters/minute

- Change it the meter per second

∵ 1 minute = 60 seconds

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∴ $v_{i}$ = $\frac{7}{6}$ meters/second

∵ His final speed $v_{f}$ = 106 meters/minute

- Change it the meter per second

∴ $\frac{106}{(1)(60)}=\frac{106}{60}=\frac{53}{30}$ meters/second

∴ $v_{f}$ = $\frac{53}{30}$ meters/second

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- Substitute the values of t, $v_{i}$ and $v_{f}$ in the formula above

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Answer:

Step-by-step explanation:

here you go mate :)

step 1

2(x + 4) = -6 solving for x

step 2

2(x + 4) = -6 simplify by distributing

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step 3

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