Question

16) F(x) = (x + 1)exponetn (2) Identify the function family to which this belongs. A Absolute Value B Constant CLinear D Quadratic

Answer 1

D quadratic

Step-by-step explanation

`f(x)=(x+1)^2`

you can easily identify a function with this :

if the exponent of the variable (x) is 1 , then it is a linear function:example

`\begin{gathered} y=x,\text{ linear function} \\ y=3x+8 \end{gathered}`

if the exponent of the variable (x) is 2 , then it is a quadratic function

`\begin{gathered} y=x^2 \\ y=(x+1)^2 \end{gathered}`

the absolute value has this symbol

`y=\left|x\right|`

a constant function is a number, with no variable, example

`\begin{gathered} y=4 \\ Y=-7 \end{gathered}`

so, the answer is D quadratic