Does the following ordered set of pairs represent a One to One function?
{(-2,1), (3,4), (0,1), (9,3)}
No ,
(-2,1) and (0,1) share the same output
Write the formula to find the average rate of change.
(y2-y1)/(x2-x1)
The range describes which values of a function?
y-values or outputs
What is the value of f(-3)?
1
When finding f(g(2)), what should I do first?
Plug in 2 into g.
If the point (-2,4) is apart of the odd function f(x), name another point that is apart of the function.
(4,-2)
The two points (14,8) and (10,5) lie on the graph of f(x). Find the average rate of change between the points.
3/4
To find the domain using a graph, which axis would you refer to.
X-Axis
For what value of x will f(x) = 5
If f(x) = 2x and g(x) = x2, find f(g(3))
18
If g(x) is an even function and g(3)= -3, What is the value of 2g(3)-g(-3)?
-3
If the point (4, -2) lies on the graph on g(x), name a point that must lie on the graph of g-1(x).
(-2, 4)
Name a value not in the domain of the following function.
f(x) = (9-x) / (x+8)
-8
What is absolute minimum of the value.
(-4,-5)
inverses
To find out of a function is a one-to-one on a graph, you must perform two tests. Name the tests and what they check for.
Vertical Line Test - Checks if it is a function
Horizontal Line Test - Checks if it is One-to-One
Given the function h(x) = 6x-3, find h-1(x).
(x+3)/6
State the Domain in Interval Notation.
[-4,4]
What is the relative maximum of the function?
(-2,3)
If f(x) is the following graph, and g(x) = 9 - x2, what is g(f(1))?
5
The set of ordered pairs {(1,2), (k,3)} would not be a function if k = ?
1
Given the function, 2x2+x-14, find the average rate of change on the interval [4,6].
21
State the Range in Set-Builder Notation.
{y|-5≤ y≤ 5}
Is f(x) increasing or decreasing on the interval [-2,2].
Decreasing
If f(x) = x2 + x - 1 and g(x) = 3 - x, what is f(g(x))?
x2 - 7x + 11