Inequalities
Write the answer in interval notion: x>-5
(-5, inf)
Find the slope between these points:
(4,8) and (-2, 11)
-1/2
x2 + x = 30
{-6,5}
f(x) = x2 - 5x +3
g(x) = 3x2 - 2
Find f*g
3x4-15x3+7x2+10x-6
Discuss the symmetry of the graph of f.
f(x) = x3 - 5x
origin symmetry
Solve. Write your answer in interval notation.
x2 - 5x -6 is less than or equal to 0.
[-1,6]
Find the slope of a line perpendicular to
3x -7y = 12
-7/3
2x2 - 11x + 12 = 0
{4,3/2}
f(x) = 2x3-5x
g(x) = -6x+11
Find (f-g)(3)
46
Discuss the symmetry of the graph of f.
f(x) = 7x4 - 3x2 + 6
Y-axis symmetry
Solve. Write your answer in interval notion.
2x2-7x+6>0
(-inf, 3/2)U(2,inf)
Find the equation of the line parallel to the line
3x +9y = 2
that goes through the point (6,-8)
y = -1/3x - 6
Solve. Leave your answer in simplest radical form.
(x-3)2 = 12
3+-2 sqrt(3)
f = {(2,3), (4,-7), (8, 10), (-3, 4)}
g = {(-2, -7), (4, 5), (10,12), (-7, 1)}
Find (f - g)(4)
-12
Give the transformations.
f(x) = -3|x - 2| + 4
Reflect over x-axis, vertical stretch, right two, up four
Solve. Write answer in interval notation.
(x-6)2(x+1)(x-3)< or equal to zero
[-1, 3]U{6}
Write the equation of the line with slope undefined and going through the point (-9,1)
x=-9
Solve.
|x-5| -6 = -4
{7, 3}
f(x) = x2 + 2x - 6
g(x) = x - 3
Find f(g(x))
x2-4x+3
Discuss the symmetry of the graph of f.
f(x) = 5x2 - x +3
symmetric about x = 1/10
5/(x+2) < 3
(-inf, -2)U(-1/3, inf)
Write the equation of the line through (11,-2),(21,3) in slope intercept form.
y = 1/2x - 15/2
Find the zeros of the polynomial, stating the multiplicity of each.
(x-1)(x+4)3(x-9)2=0
1, mult of 1
-4, mult of 3
9, mult of 2
Find the inverse:
f(x) = x3/5 +14
f-1(x) = cube root (5x - 70)
Even, Odd or neither?
f(x) = x/(x2 + 2)
odd