Functions and Function Families
How do you know if a relation is a function in a table?
The domain values do not repeat
In the function f(x) = 20, what is the input?
x
Evaluate f(x) = 3x +2 for f(2) and express your answer in function notation.
f(2) = 8
The domain is the set of input (x) values and the range is the set of output (y) values
Do these ordered pairs represent a function?
{(2, 2), (3, 4), (4, 3), (5, 6)}
Yes
Evaluate b(m) = m2 -3 for b(2) and express your answer in function notation.
b(2) = 1
If a graph is continuous, how is it represented in the domain and range?
All real numbers
Ms. Ferrao charges her tutoring clients $50 per hour. Use function notation to express how much money she makes tutoring for 5 hours each week.
F(5) = 250
Evaluate h(x) = 3x - 4 for h(3) and express your answer in function notation.
h(3) = 24
True or False: Linear functions that are continuous have the set of all real numbers as domain and range
True
Two bicycle riders start a race at the same time. The functions f(x) and g(x) give the distance in miles that each rider has travelled after x hours of riding. What does f(2) - g(2) = 5 mean in this context?
The riders are 5 miles apart 2 hours after the race starts
Evaluate D(x) = 4x3 - 3x2 + 2x -1 for D(-2) and express your answer in function notation.
Express the domain and range in interval notation:
Domain: the x values are greater than -4 and less than 8
Range: the y values are less than to 10 and greater than 0
D: -4<x<8
R: 10>y>0