Show:
Inverses
Zeros/roots
Composition
Quadratic Form
Square Root Function
100
What is the inverse of {(2, 3) , (4, 0)} and is this a one-to-one function
{(3, 2), (0, 4)} yes (neither x nor y values repeat)
100
The possible number of positive and negative real zeros of this function x^3 - 2x + 5
What is 2 or 0 positive and 1 negative?
100
find f - g for f(x) = 2x - 5 and g(x) = -2x - 3
What is f - g (x) = 4x - 2
100
solve x^4 - 625 = 0
What is 5, -5, 5i, -5i
100
Domain of f(x) = sq rt (3x - 7)
What is x > 7/3
200
What is the inverse of f(x) = 2x - 3?
What is f^-1(x) = (x+3)/2
200
the possible rational zeros of f(x) = 2x^3 - 5x + 6x + 6
What is 1, 2, 3, 6, 3/2, 1/2 (positive and negative)
200
find (fg)(x) for f(x) = 2x and g(x) = 3x^2 + 5x
What is 6x^3 + 10x^2
200
solve x^4 - 4x^2 - 12 = 0
What is sq rt(6), -sq rt(6), sq rt(2)i, -sq rt(2)i
200
Range of g(x) = sq rt (2x - 4) + 5
What is [ 5, inf) or y > 5
300
the equation of the line over which inverses are reflected
What is y = x
300
one factor of f(x)= x^3 + x^2 - 9x - 9 is x - 3, find the other factors
What is (x + 3)(x + 1)
300
find (f/g)(x) for f(x) = x^2 - 5x - 6 and g(x) = x + 1
What is x - 6, where x does not equal -1
300
factor using the quadratic method/technique 10x^10 - 11x^5 + 3
What is (5x^5 - 3)(2x^5 - 1)
300
Domain and range of h(x) = sq rt (2x - 8) + 1
What is x > 4 and y > 1
400
(f(f^-1(-3))
What is -3
400
find all of the zeros of p(x) = x^3 - 2x^2 + 9x - 18
What is 2, 3i, -3i
400
for f(x) = 7x^2 - 3 and g(x) = x - 4 find f(g(x))
What is 7x^2 - 56x + 109
400
find the factors of x^6 - 27 = 0
What is (x^2 - 3)(x^4 + 3x + 9)
400
move the function 3 units left and one unit up for f(x) = sq rt (x - 6) + 5
What is f(x) = sq rt (x - 3) + 6
500
Determine if g(x) = 2x^2 - 3 and h(x) = sq rt(x/2) + 3 are inverses
What is no
500
find all the zeros of h(x) = 3x^3 + 4x^2 - 13x + 6
What is -3, 2/3, 1
500
f(g(h(2x))) for f(x) = 5x, g(x) = x^2 - 3, h(x) = -3x
What is 180x^2 - 15
500
find k so that the remainder is 3 for (x^2 + x - k) / (x + 1)
What is -3
500
graph y > sq rt (3x - 9) - 2
What is (see graph)