Question

What can be determined if g(1) = -3, g'(1) = 0, and g"(1) = 2?

Answer 1

1. g has a zero at x=1
2. g has a relative minimum at x=1
3. g has a relative maximum at x=1
4. g has a inflection point at x=1

Answer 2

The first derivative tells us whether the graph of a function is increasing or decreasing.
The second derivative tells us whether the graph of a function p, concave up or concave down.

Answer 3

Would it have a relative maximum at x=1?

Answer 4

Correct,

Answer 5

Thank you so much! :)