Lecture 8

Question 1

what are tips to draw the graph of a derivative function?

Answer 1

-plot where the max and mins are on the x-axis of the derivative graph
-if the original function is increasing then the derivative graph is above the x-axis
-if the original function is decreasing then the derivative graph is below the x-axis

Question 2

what is a log plot?

Answer 2

a graph of both the x and y’s logged

Question 3

what is a log scale?

Answer 3

a graph when only either x or y are logged

Question 4

what does it mean if a log graph is linear?

Answer 4

it is an exponential or power function

Question 5

how do you tell if a log graph is a quadratic function?

Answer 5

look for a curved shape

Question 6

what is the tangent line like when f’(x)=0?

Answer 6

horizontal tangent line

Question 7

what does it mean if a function is defined on an interval?

Answer 7

every x value corresponds to a y value

Question 8

when does a derivative not exist on a graph?

Answer 8

cusp, jump, vertical tangent at point of interest

Question 9

what does f (x) = f (−x)?

Answer 9

even symmetry

Question 10

how do you find the phase shift of a periodic function?

Answer 10

set the bracket equal to zero