Consider the function f(x) = x² – 3x – 4 and complete parts (a) through (c). (a) find f(a+h); f(a+h)-f(a) (b) find (c) find the instantaneous rate of change of f when a = 7. (a) f(a+h) = (simplify your answer. do not factor.)

(a)

(b)

(c)

Step-by-step explanation:

(a)

Simply evaluate (a+h) in the function:

(b)

Evaluate (a) in the function:

Using the previous answers lets calculate f(a+h)-f(a)

(c) To find the rate of change of f(a+1) when a=7 we need to calculate its derivate at that point:

the answer is; biodiversity resulting from few ancestors

adaptive radiation occurs when a population is subjected to a large natural environment with spatial ecological variations. the parts of the population in the different ecologies begin to adapt to their local environments. due to non-random mating across the large populations, this causes the different populations from the large population to speciate within their local environments. they, therefore, diverge to different species sharing a common ancestor.