Linear & Piecewise
Sign Charts & Solving
Domain & Rationals
Trigonometry
Functions & Miscellaneous
100
If the slope is
2/5
, what is the slope of a line that is perpendicular to it?
-5/2
100
Solve for x: Hint make a sign chart. Leave answer in interval notation
2x+10<=0
(-oo,-5]
100
What is the natural domain: Write in interval notation
f(x)=log_2(x+6)
(-6,oo)
100
Find the missing side of the right triangle (Hint: Use pythagorean theorem)
sqrt7
100
Given: f(x)=x^2+2x-1 and g(x)=x+3 , find f(g(x))
(x+3)^2+2(x+3)-1
200
Write an equation of a line that has a slope of 3 and a point of (1 , 2).
Leave in terms of y.
y=3x-1
200
Solve for x: Hint make a sign chart. Leave answer in interval notation
3x-8>=0
[8/3,oo)
200
What is the natural domain of the function: Write in interval notation f(x) = (x^2-16)/(x+1)
(-oo,-1)U(-1,oo)
200
If you are given that the sectheta=4/3 , what is costheta
3/4
200
If f(x)=x^2+2x-1 and g(x)=x+3 , find g(f(x))
** Simplify this one *** CLT
x^2+2x+2
300
Write an equation of a line that has a slope of 1/2 and a point of (2 , -3).
Leave in terms of y.
y=1/2x-4
300
Solve for x: (Hint use a sign chart). Write in interval notation
x^2+2x-8<0
(-4,2)
300
What are the x intercepts and the asymptotes of the following function:
(x^3-16x)/(x+1)
X intercepts: x= 0, -4 , 4 and asymptotes: x=-1
300
If you are given: sintheta=sqrt7/4 , what is csctheta= ? (Rationalize denominator)
csctheta=(4sqrt7)/7
300
Given: h(x)=f(g(x)) and given that h(x)=(2)/((x+3)) , find f(x)
f(x)=2/x
400
Write the equation of the line that goes through the point ( -1, -2) and is parallel to the line
2x-5y=6
y=2/5x-8/5
400
Solve for x. (Hint: Use a sign chart) Leave answer in interval notation
9x^2-16>=0
(-oo,-4/3]U[4/3,oo)
400
Solve for x: (Hint: Make a sign chart)
(x^3-16x)/(x+1)<=0
[-4,-1)U[0,4]
400
If you are given: sectheta=4/3 , find tantheta
sqrt7/3
400
Given: h(x)=f(g(x)) and given that h(x)=(2)/((x+3)) , find g(x) and then find domain!
g(x)=x+3
Domain: (-oo,oo)
500
Write the equation of the line that goes through the point ( -1, -2) and is perpendicular to the line
2x-5y=6
y=-5/2x-9/2
500
Solve for x. (Hint: Rewrite as a quadratic and then Use a sign chart) Write in interval notation
4x^2<=9
[-3/2,3/2]
500
Find the domain: (Write in interval notation)
(-oo,3]U[6,oo)
500
if you are given: sectheta=4/3 , find csctheta
csctheta=(4sqrt7)/7
500
Use the unit circle to find given theta=-(13pi)/6 . Find costheta
costheta=sqrt3/2