Mathematics: Determine which graph, f(x)=square root of 16x or g(x)=16square root of x, rises more steeply. explain

Idk at all I don’t I tried it but I know it’s WRONG SO SRRY...

Determine which graph, f(x)=square root of 16x

emilyproce

06.01.2022

g(x) rises more steeply than f(x)

Step-by-step explanation:

Given: $f(x)=\sqrt{16x}$

$g(x)=16\sqrt{x}$

The parent function of both f(x) and g(x) is same.

$\text{Parent function }:p(x)=\sqrt{x}$

$f(x)=\sqrt{16x}=4\sqrt{x}$

$g(x)=16\sqrt{x}$

$y=a\cdot f(x)$

The rise of function depends on the value of a.

Higher the value of a rises more because coefficient is more.

$p(x)=\sqrt{x}$

$f(x)=4\sqrt{x}$

$g(x)=16\sqrt{x}$

The coefficient of g(x) is more than f(x).

We can see graphically also. Please see attachment for graph.

Hence, g(x) rises more steeply than f(x).

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