Question

Drag and drop the answer into the box to identify each function as linear, exponential, or neither.

Answer 1

Yes these are correct hope it helps.    

Answer 2

Answer:  Set One - Exponential

Set two - neither linear nor exponential

Step-by-step explanation:

If a function is linear then its rate of change of f(x) ( dependent variable ) is constant with respect to change in x ( independent variable ) .

If a function is exponential then its multiplicative rate of change consecutive terms has ratio which is constant .

For set One

$\frac{f(4)-f(2)}{4-2}=\frac{0.25-1}{2}=-0.375\\\frac{f(4)-f(0)}{4-0}=\frac{0.25-4}{4}=-0.9375\\0.9375\neq-0.375$........> not linear.

$\frac{f(4)}{f(2)}=\frac{0.25}{1}=0.25\\\frac{f(2)}{f(0)}=\frac{1}{4}=0.25$

Since, ratio is constant therefore, this function  is exponential.

For set Two

$\frac{f(2)-f(1)}{2-1}=\frac{0-5}{1}=-5\\\frac{f(1)-f(0)}{1-0}=\frac{3-5}{1}=-2\\-2\neq-5$........> not linear.

$\frac{f(1)}{f(0)}=\frac{3}{5}\\\frac{f(2)}{f(1)}=0$

Since, ratio is not constant therefore, this function is  not exponential.

Hence, set two represents neither linear nor exponential equation.