Question

PLEASE HELP ASAP !! Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. QUESTION: Find the average rate of change of each function over the interval [0, 3]. Match each representation with its respective average rate of change 3, -3 ,-2,6,-1,5

Answer 1

Answer:

Average rate of change of functions r, q, p, s are 5, 3, -2 and 6 respectively.

Step-by-step explanation:

The formula for average rate of change of f(x) over [a,b] is

$m=\dfrac{f(b)-f(a)}{b-a}$

The given function is

$r(x)=x^2+2x-5$

$r(0)=(0)^2+2(0)-5=-5$

$r(3)=(3)^2+2(3)-5=10$

Now,

$m_1=\dfrac{r(3)-r(0)}{3-0}$

$m_1=\dfrac{10-(-5)}{3}=5$

From the graph it is clear that q(0)=-4 and q(3)=5.

$m_2=\dfrac{q(3)-q(0)}{3-0}$

$m_2=\dfrac{5-(-4)}{3}=3$

It is given that  function p has as x-intercept at (3,0) and a y-intercept at (0,6). It menas p(0)=6 and p(3)=0.

$m_3=\dfrac{p(3)-p(0)}{3-0}$

$m_3=\dfrac{0-6}{3}=-2$

From the given table it is clear that s(0)=-13 and s(3)=5.

$m_4=\dfrac{s(3)-s(0)}{3-0}$

$m_4=\dfrac{5-(-13)}{3}=6$

Therefore, the average rate of change of functions r, q, p, s are 5, 3, -2 and 6 respectively.