Asymptotes, Holes, Intercepts
Limits
Piecewise Functions
Radicals, trig identities, logs
Operations with rational expressions
100
Calculate the vertical asymptote for this function
(x^2-5x+6)/(x^2+x-12)
x= -4
100
limit = DNE
100
Based on the graph, what is the value of f(1)?
f(1)= -2
100
Simplify
16^(3/4)
8
100
Complete the operation and simplify.
-13/(21x)
200
Determine the x and y intercepts of this function:
(2x^2+x-1)/(3x^2+4x+2
x intercept: x=1/2
y intercept = y=-1
200
Based on the table, what is the limit as x -> 3?
10
200
Find f(-2)
Undefined
200
Condense into 1 logarithm
1/2logx-2logy
log((x^(1/2))/y^2)
200
Complete the operation and simplify.
(x-7)/(5x)
300
At what x value will this function be undefined?
(x^2-5x+6)/(x^2+x-12)
x=3
300
Based on the graph, at what x values is the limit DNE?
x=1
x= -1
300
At what values of x does the limit not exist?
x=0
x=3
300
Rewrite using only sin and cos
cscthetacottheta
costheta/sin^2theta
300
(x^2+2x-8)/(3x^2+12x)*(3x+3)/(x-2)
Complete the operation and simplify:
(x+1)/x
400
Calculate the vertical and horizontal asymptotes for this function
VA x=1/2
HA y=1
400
Find the left and right limits as x approaches 4
Limit from the left = 6
Limit from the right = 4
400
Write the inequality for the function piece f(x)=5
0 < x < 3
400
Rewrite the following as a single trig function:
secthetatanthetacotthetasintheta
tantheta
400
Complete the operation and simplify
(2x^2-3x-2)/(4x^2+18x+8)/(x^2-x-2)/(4x^2+20x+16)
2