Limits of piecewise functions
Determine lim f(x)
x->4+
f(x)={9-3x for x ≥ 4
x2-10 for x<4
lim f(x)=-3
x->4 +
what does -f(x) mean?
Convert 45° into its radian form
𝛑/4
sin(300° )
√3/2
What is the degree of f(x)?
f(x)=3x6-4x5+6x2+30
6
Determine the value of c
f(x)={ cx+3 x<2
3x+c x≥ 2
c=3
What does f(x+h) mean?
Translates to the left
Evaluate tan (𝛑/3)
√3
sin(-135° )
√2/2
is it even, odd, or neither
1.) f(x)=x3-8x
2.) f(x)= x3-5x2+2
1.) odd
2.)neither
Find the values when x=-1, x=0
f(x)={ 2x+1 x<0
2x+2 x≥ 0
f(-1)=-1
f(0)=2
List the transformations for the following equation
f(x)=(x+20)-6
transformation left 20
transformation down 6
What is 5𝛑 in degrees?
90°
tan(7π /6)
√3/3
What is the max number of turns the graph could make?
f(x)=-5x7+20x5-3x+50
6 :)
Find the lim f(x)
x->2
f(x)={ 5x+3 x<2
2x2+5 2≤ x<4
x3-5x+3 x≥ 4
13
What would a function that is translated down 3 units and right 50 look like?
f(x)=(x-50)-3
Determine the reference angle for 11𝛑/4
𝛑/4
sec(330° )
2√3/3
Describe the end behavior of
f(x)=-5x4-2x2+8
left side pointing down
right side pointing down
Find the values when x=-2, x=2, x=5
f(x)={ 4x+5 x<2
3x-8 x≥ 2
f(-2)=-3
f(2)=-2
f(5)=7
Write an absolute value function for the following transformations
reflection over x-axis
translation left 10 units
translation down 30 units
f(x)=-|x+10|-30
Convert 532° into its radian form
532𝛑/180
or
9.285...
tan(11π /4)
-1
What is the end behavior
f(x)= x5+2x2-3x
as x -> -∞
f(x)-> -∞
as x -> ∞
f(x) -> ∞