Question

please show all work

Q2 - Graph Sketching Consider the function -2 where the graph of g(r) is given below a) State the intervals of increase of G(z). Estimate if needed. b) Estimate the value(s) of r that are a local minimum of G. Explain your answer briefly. c) Sketch the graph of G(z) on the interval [-2,5] (space is provided below). g(x) 4 4

Answer 1

Solution:

a)

we have

G(x)g(t)dt

G, (z) = g(z)

For G(x) to increase G(x) must be greater than 0 and from above it means

that G(x) is increasing where q(r) is greater than 0

3U (4,5 Therefore, G(r) is increasing in [

$\text{b)}$

Local minimum occurs where G(x) changes its sign from negative to positive

Hence local minimums of G are at r

$\text{c)}$