Please show work Thank you 1 point Find the average rate of

Please show work, Thank you!

(1 point) Find the average rate of change of f(z) 34z2 -9 between each of the pairs of points below (a) Between (5,91) and (8,247) answer (b) Between (d, kland (s, v) answer (c) Between (a, f(z)) and (r h, f( h)) answer

Solution

1) f(x)=4x²-9

rate of change between (5,91),(8,247)

=[247-91]/(8-5)

=156/3

=52

b)rate of change between (d,k),(s,v)

=(v-k)/(s-d)

c)rate of change between (x,f(x)),(x+h,f(x+h))

=[f(x+h)-f(x)]/[x+h -x]

=[f(x+h)-f(x)]/h

=[4(x+h)²-9-4(x)²+9]/h

=4[(x+h)²-(x)²]/h

=4[x²+h²+2xh-x²]/h

=4[h²+2xh]/h

=4[h+2x]

=4h+8x