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

I Inserted A Picture Of The Question Can You Make It Very Shorta 4 B 8c 4d 8 class=

Sagot :

a. -4

Explanation

the average rate of change is given by:

[tex]\begin{gathered} rateofch=\frac{\Delta y}{\Delta x}=\frac{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}[/tex]

then

Let

[tex]\begin{gathered} x_1=1 \\ f(x_1)=0 \end{gathered}[/tex]

and

[tex]\begin{gathered} x_2=3 \\ f(x_2)=-8 \end{gathered}[/tex]

hence

P1(1,0)

P2(3,-8)

now, replace in the formula

[tex]\begin{gathered} rateofch=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1} \\ \text{rate of change=}\frac{-8-0}{3-1}=\frac{-8}{2}=-4 \\ \text{rate of change=-}4 \end{gathered}[/tex]

therefore, the answer is

a. -4

I hope th