Week #23?

Hope everyone is enjoying watching the Saint's game!!!

I'll do some AP uestions from the last test we review last week, AB Practice Exam 1.

32) The graph of F', which consists of a quarter-circle and two line segments, is shown above. At x = 2 which of the following statements is true?

A) f is not continuous
B) f is continuous but not differentiable
C) f has a relatve maximum
D) The graph of f has a point of inflection
E) none of these

This is a problem that is basically solved by process of elimination. You can first eliminate A and B because if they give you the graph of f', then that means f is continuous and differentiable. You then can reason that D would be the correct answer because x = 2 would be the point of inflection.


40) At which point on the graph of y = f(x) shown above is f '(x) <> 0?

A) A
B) B
C) C
D) D
E) E

They also give you a graph (which is the key word). This problem is also a process of elimination problem. When you look at the problem, f '(x) <> 0 means that the point is concave up. So you can automatically eliminate C and E because they are not increasing or decreasing. You can also eliminate B, because it is increasing rather than decreasing. You come down to A and D and you see that A is concave up and D is concave down, so you now have you answer of A) A.

See you all tomorrow.
OVERTIME