Relations
Is {(1, 2), (2, 3), (3, 4)} a relation?
Yes, Is {(1, 2), (2, 3), (3, 4)} is a relation.
What is a function?
A relation where each input (x) maps to exactly one output (y).
Given f(x) = √(x + 5), find f(4).
3
Define domain and range.
The domain is all x values, and the range is all y values. The domain of a function is all the possible input values, and the range is the set of all output values.
How do you find the y and x intercepyts of a graph?
Fill zero in
What is a relation in math?
A relation is a way to describe a relationship between two sets of values, often represented as ordered pairs (x,y).
Is the relation {(2, 4), (3, 5), (2, 6)} a function?
No, the x values repeat.
Evaluate f(x)= 2^x+1 if x=2
8
What is the domain of the function f(x) = 2x + 1?
All real numbers.
Is a relation always a function?
No, a function is always a relation, but a relation is not always a function.
What is the vertical line test, and how is it used?
The vertical lines test is a way to check if a line is a function. If any vertical line intersects the graph more than once, the graph does NOT represent a function
Evaluate f(x) = 3x – 2 when x = 4.
10
What is the domain of the set: {(1,5),(2,6),(3,7)}?
{1,2,3}
True or False: A relation can have repeating y-values
True, x cannot have repeating values.
A graph shows a vertical line intersecting the curve at two points. Does this graph represent a function?
No, it failes the vertical line test.
Evaulte f(x) = 27x+5
Given f(x) is 59, solve for x.
2
A monogramming company charges its customers per letter of monogramming in a project. The cost, c, can be represented by c = 3.75x, where x is the number of letters in the project. Which type of number is most reasonable for the domain of the situation?
All real number
What is the domain and range of {(-1, 5), (2, 6), (3, 5), (8,9), (3,7)?
Domain: {−1, 2, 3, 8}
Range: {5, 6, 7, 9}
Does the graph of y=x^2 pass the Horizontal Line Test? Explain.
No, the horizontal line crossses it more than once.
Evaluate the piecewise function:
f(x)={2x+1, x<0
{x^2, x≥0}
find f(-4)
-7
What is the domain of the function f (x) = | x - 1 |?
All real numbers