Evaluating Functions
Given f(x) = x + 3
Evaluate f(2)
5
What is a composite function?
A function that depends on another function.
What does the letter i equal in math?
Square root of -1
How many solutions can there be to a quadratic function?
2
Given g(x) = -4 - x
Evaluate g(10)
-14
Given f(x) = x + 2 and g(x) = x2
Find f(g(5))
27
Simplify:
(4 + 2i) + (3 + 6i)
7 + 8i
Factor the following:
x2 + 6x + 8
(x + 4)(x + 6)
What is the vertical line test? How do we use it?
It is used to see if a graph is a function. If a vertical line intersects the graph more than once, then the graph is not a function.
Given f(x) = 2x - 1 and g(x) = 4x
Find g(f(6))
44
Simplify:
(8 - 3i) - (4 - 2i)
4 - i
Factor the following:
x2 - 64
(x + 8)(x - 8)
Given h(x) = x2 + 3, find x if h(x) = 28
x = 5 or -5
Given j(x) = x2 + 3x - 4 and k(x) = 2x + 2
Find k(j(x))
2x2 + 6x - 6
Simplify:
(3 + 2i)(5 + 4i)
22i + 7
Factor and solve:
x2 - 10x - 24
x = -2 , 12
For f(x) = x2 - 3x + 5, find the value of f(3) + 6
11
Given f(x) = 4x + 6 and g(x) = 3x2
Find g(f(x))
48x2 + 144x + 108
Simplify:
(-5 + 3i)(3 - 7i)
44i + 6
Factor and solve:
2x2 + 10x - 132 = 0
x = -11 , 6