curve sketching

If you are given an equation for a function and you put 0 in for x, what are you finding?

• The y intercept.

• b

• a point where x=0

• a point where y=0

• the x intercept

If you are given an equation for f(x) and you set it equal to 0, what are you finding?

• x intercepts

• Where it crosses the x-axis

• critical points

• points where x=0

• points where y=o

Tags

CCSS.HSF-IF.C.7C

If you are given f(x), and you find f'(x), and you make f'(x)=0, what are you trying to find?

• critical points

• inflection points

• intercepts

• absolute maxiimums

If you want to know where f(x) is increasing, and you are given a graph of f'(x), look at where f'(x) is

• above the x axis

• positive

• below the x-axis

• negative

• to the right of the y-axis

If f''(c)=0 then the function has __________ at c.

• critical point

• relative maximum

• relative minimum

• point of inflection

Match the following

• x-intercept

  y-intercept

  Vert Asymp

  holes

• f(x)

• critical points

  regions of incr/dec

  extrem

• f'(x)

• inf points

  concavity

• f''(x)

What is a point of inflection?

• a point where concavity changes

• where f''(x)=0

• A relative minimum

• a relative maximum

Tags

CCSS.HSF.IF.A.2

What is a critical point?

• a point where f''(x)=0

• a point where f'(x)=0

• relative max, min, or point of inflection

• absolute max or min

f'(c)=0

AND

f''(c)=-2

(c, f(c)) is a

(a)  

f'(c)=0

AND

f''(c)=0

(c, f(c)) is a

(a)