QUESTION 2
The table of the function g(x) is shown below with selected values. All real zeros of the function g(x) are shown on
the table.

X| -4 | -2 | 0 | 2 | 4 |
g(x)| -276 | 0 | -28 | 0 | 276 |

a) Find the rate of change of g(x) from x = -2 to x = 0.
b) Determine whether the function g(x) is concave up or concave down from x =-4 to x =4. Justify your reasoning. Show the work that leads to your answer.

c) What is the least amount of local extremas of the function g(x) based on the table? Explain your reasoning.

d) The function g(x) can be expressed as the polynomial g(x)
g(x) as x- co and as x → co in limit notation.