Question

Pleade i need help it would really help out i dont understand

Answer 1

Linear functions are those whose graph is a straight line. A linear function has the following form. y = f(x) = a + bx. A linear function has one independent variable and one dependent variable. The independent variable is x and the dependent variable is y.

Part A:

The product of a number and 7

Let the number be

`=n`

The product of the number and 7 will be

`\begin{gathered} =7* n \\ =7n \end{gathered}`

The graph of the expression above is represented below as

Part B:

The sum of three consecutive numbers

Let the number be

`=n`

The sum of three consecutive numbers will be

`=n+(n+1)+(n+2)`

The graph of the expression below is given as

Part C:

The square of a number times 3

Let the number be

`\begin{gathered} =n \\ \text{square of the number will be} \\ =n^2 \\ \text{Square of the number times 3 will be} \\ =3* n^2 \\ =3n^2 \end{gathered}`

The graph is represented below as

Non-linear means the graph is not a straight line. The graph of a non-linear function is a curved line. A curved line is a line whose direction constantly changes.

Part D:

Twice the sum of a number and 8

Let the number be

`\begin{gathered} =n \\ \text{The sum of the number and 8 will be} \\ =n+8 \\ \text{Twice the sum of the number and 8 will be} \\ =2(n+8)_{} \end{gathered}`

The graph of the expression above is represented below as