Operations of Functions
Polynomial Functions
Trig
Quadratic Functions
Misc
100
What is f(x) + g(x) if
f(x)= 2x + 3 and g(x)=4x + 6
6x+9
100
Which of the following is not a polynomial function?
a. f(x)=5x + 4x + 2
b. g(x)=x3
c. h(x)=x2 - 3x + 1
a. f(x)=5x + 4x + 2
100
Is this function even or odd?
Odd
100
What is the vertex of the equation below.
(-1,-3)
100
Is the degree of this function even or odd?
Even
200
What is f(x) / f(x) if
f(x)= 4x3 - 9x + 4 and g(x)=13x + 21
1
x ≠ -1.686, 0.5, 1.186
200
Does y=x2 - 5x + 9 have a minimum or a maximum?
Minimum
200
What is the vertex of the graph y = x2
(0,0) "the origin"
200
What is the quadratic formula?
(- b ∓ √b2 - 4ac) / 2a
300
What is g(x) - f(x) if
f(x) = 2x - 7 and g(x) = 5x + 3
3x + 10
300
What are the two solutions to this equation?
(3x - 6)(x + 7)=0
x= 2, -7
300
Is the inverse of this function also a function? Yes or No
No
300
Factor
(x2 - 8x + 12)
(x - 2)(x - 6)
300
What is instantaneous rate of change?
The rate of change at a particular instant. Line tangent to a graph at that point.
400
What is f(x) * g(x) if
f(x)= x + 1 and g(x)=2x + 2
2x2 + 4x + 2
400
What is the highest degree term of the solution to this division problem?
-3x2
400
What is the inverse of
y = 2x
y-1 = x/2
400
What is the axis of symmetry of the equation
y = x2 - 2x + 4
x = 1
400
What is i99?
-i
500
What is f(g(x)) if
f(x)= x3 + 3x2 - 2x + 1 and g(x)=x4
x12 + 3x8 - 2x4 + 1
500
Should one shade on the inside or the outside of this quadratic inequality? y > -x2 - 3x + 5
Outside
500
What is the inverse function of f(x) = x
f-1(x) = x
500
What is the little formula to calculate "the discriminant"?
b2 - 4ac
500
What type of discontinuity is created when a factor cancels out of the numerator and denominator of a rational function?
Removable discontinuity (hole)