Linear Things
Functions
Graphs & Polys
Expon. & Logs
Random
100
Solve: 5x/2 +x/4 = 3/2
x = 6/11
100
If f(x)= -12x+5, find f(-1).
f(-1) = 17
100
Describe the transformation occurring in the graph of y = x^2 + 3
Vertical shift up 3
100
Write x^y = 5 in logarithmic form
logx(5)=y
100
Find the domain: f(x) = x/(x-4)
Domain: (-oo,4)U(4,oo)
200
Find the slope between (2,3) and (-2,-5)
m = 2
200
If f(x) = 3x+5 and g(x) = 2x-4, find (f-g)(-9).
(f-g)(-9) = 0
200
Find the vertex of: h(x) = -2x^2 + 4x - 5
(1,-3)
200
Write log5(k) = t in exponential form
5^t = k
200
Multiply the complex numbers: (5 + i)(5 - i)
26+0i
300
Find the equation of the line with slope -3 and y-intercept 5/4.
y = -3x+5/4
300
If f(x) = 3x+5 and g(x) = 2x-4, find (fg)(x).
(fg)(x) = 6x^2 - 2x - 20
300
Find the y-intercept of f(x) = (x+5)(x-1)(x-2)
(0,10)
300
Use change-of-base to express as common logs: log4(15)
log(15)/log(4) or ln(15)/ln(4)
300
Find the horizontal asymptote: f(x) = (2x-5)/(4x+4)
y = 1/2
400
Solve: 3|x-5| = 9
x = 2, 8
400
If f(x) = 3x+5 and g(x) = 2x-4, find (fog)(x).
(fog)(x) = 6x-7
400
Solve: x^2 +3x +2 = 0
x = -1,-2
400
Determine final value of $500 initial deposit when invested at 3% for 4 years, compounded monthly.
$563.66
400
Write an equation that models the following: y varies directly as x and inversely as z.
y = kx/z
500
Write the equation of the line with slope 5 going thru (-1,-2)
y = 5x+3
500
If f(x) = 3x+5 find its inverse f^-1(x).
f^-1(x) = (x-5)/3
500
Factor, given that 1 is a zero: y = 2x^3 -3x^2 -5x + 6
y= (x-1)(x-2)(2x+3)
500
Solve and simplify: ln(12x-3) = ln(13)
x = 5/4
500
Solve the system: x + y = 5, 2x - 2y = 2
(3,2)
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