Graphs And Functions Flashcards
F(-x) = f(x)
Even
F(-x) = - f(x)
Odd
Is sin odd or even
Odd
Is cos odd or even
Even
Is tan odd or even
Odd
F” (x) >0
Concave up and a local minimum
F”(x) <0
Concave down and local maximum
F”(x) =0
Local maximum or minimum or horizontal point of inflection
When is their a non-horizontal point of inflection
F”(x)=0 but not f’(x)=/0
What is a point of inflection
When a curve changes from concave up to concave down
When is their a horizontal asymptote
When the degree of thr numatrtor is the same as the denominator
What is a sloping asympotote
When the degree of the numerator Is one more than the degree of the denominator
Y= - f(x)
Reflects in the x-axis
Y=(f-x)
Reflects in y-axis
Y=f‐¹(x)
Y=x
Y=|f(x)|
The negative y-coordinates flip to be positive
Y=f (x-a)
Horizontally
Right -
Left +
Y= f(ax)
Scales horizontally
Y=af(x)
Scales vertically
Y= f(x) + a
Moves the graph vertically
