Find the degree of:
f(x)=4x^5−2x^3+x−7
5
Simplify:
log10(1000)
What is:
sin(90∘)
1
Describe the transformation:
y=(x−3)^2
Shift right 3 units
Find the vertical asymptote:
f(x)=1/x−2
x=2
Find the zeros of:
x^2−9=0
x=3, -3
Solve:
2^x=16
4
Find the period of:
y=sin(2x)
π
Determine if the relation is a function:
(1,2),(1,5),(3,4)
Not a function
Find the horizontal asymptote:
f(x)=3x+1/x+5
y=3
What is the end behavior of:
f(x)=−2x^4+3x
Falls left and falls right
Rewrite in exponential form:
log3(81)=4
3^4=81
Solve on [0,2π):
cos(x)=0
x=π/2,3π/2
Find:
f(2)
for
f(x)=3x2−1
11
Simplify:
x2−9x/−3x−3
x+3
Find the vertex of:
f(x)=x^2−6x+5
(3,−4)
Solve:
e^2x=20
x=2ln(20)/2
Find the amplitude of:
y=−5cos(x)
5
Find the inverse of:
f(x)=2x+5
f^−1(x)=x−5/2
State the excluded value:
1/x+7
x not=−7
Factor completely:
x^3−4x^2−7x+10
(x−5)(x−2)(x+1)
A population starts at 200 and grows by 8% yearly. Write the model.
P(t)=200(1.08)^t
Use the identity:
sin2(x)+cos2(x)=?
1
State the domain of:
f(x)=(square root of)x−4
x≥4
Find the holes or asymptotes of:
f(x)=x^2−1/x−1
Hole at x=1x=1