Exponent Properties
Attributes of Functions
Factoring
Solve for x
Miscellaneous
100
x^3*x^7
x^10
100
Does the cubic function have a vertex?
No
100
x^2+16x
x(x+16)
100
7x+11=2x-4
x = -3
100
Expand
(3x+5)^2
9x^2+30x+25
200
(x^4y)/x^3
xy
200
Find the x- and y-intercept of the
line 2x + 3y = –18
x-int = (-9, 0)
y-int = (0, -6)
200
12x^3+8x^2
4x^2(3x+2)
200
2x^3+7x^2=x^3+3x^2-3x
x = {-3, -1, 0}
200
Simplify
log_7(6x)+log_7(4)
\log_7(24x)
300
2x^3y^5*5x^-7y
(10y^6)/x^4
300
Is f(x) = log_2(x) an increasing or decreasing function?
Increasing
300
4x^2-16
(2x+4)(2x-4)
300
1/x+1/(x+1)=3/x
x = -2
300
Use the quadratic formula to find the roots of
f(x) = x^2+2x-10
x = {2.31, -4.32}
or for bonus points
x = {-1 \pm \sqrt11}
400
(-3x^-3y^4)^2
(9y^8)/x^6
400
What is the domain and range of
g(x)=sqrt(x-3)+7
Domain =
[3, \infty)
Range =
[7,infty)
400
2x^2+9x+10
(2x+5)(x+2)
400
Round your solution to the nearest hundredth
21 =4^(7x)
x = 0.31
400
Write an equation for a line that goes through the points (2,5) and (8, 17).
y-5=2(x-2)
y=2x+1
500
((2a^3b^-2c^5)^3)/(2ab^-3c^2)
(4a^8c^12)/b^3
500
What are the asymptotes of the function
h(x)= 1/(x^2+3x-28)
HA: y = 0
VA: x = 4 and x = -7
500
4x^3+8x^2+3x+6
(4x^2+3)(x+2)
500
2*log_3(2x+1)=4
x = 4
500
What is the length of the hypotenuse in the triangle below?
DE \approx 16.15