Question

I inserted a picture of the question can you make it very shorta -4 b 8c 4d -8

Answer 1

a. -4

Step-by-step explanation

the average rate of change is given by:

`\begin{gathered} rateofch=(\Delta y)/(\Delta x)=(y_2-y_1)/(x_2-x_1) \\ where \\ P1(x_1,y_1)\text{ is the start point} \\ P2(x_2,y_2)\text{ is the end point} \end{gathered}`

then

Let

`\begin{gathered} x_1=1 \\ f(x_1)=0 \end{gathered}`

and

`\begin{gathered} x_2=3 \\ f(x_2)=-8 \end{gathered}`

hence

P1(1,0)

P2(3,-8)

now, replace in the formula

`\begin{gathered} rateofch=(\Delta y)/(\Delta x)=(y_2-y_1)/(x_2-x_1) \\ \text{rate of change=}(-8-0)/(3-1)=(-8)/(2)=-4 \\ \text{rate of change=-}4 \end{gathered}`

therefore, the answer is

a. -4

I hope th