Identifying Functions
Explain the Vertical Line Test.
Determines whether or not something is a function.
Given f(x) = x2 - 4x, find f(2).
f(2) = -4
What does an open circle represent on a piecewise graph?
It represents discontinuity (it is not included)
What is the slope-intercept equation of a line?
y = mx + b
How do you calculate the slope of a line at two given points?
m = (y2-y1)/(x2-x1)
Draw a line that would not be considered a function.
Answers will vary.
Given f(x)= (3x)/5, find f(5).
f(5) = 3
What does a closed circle represent?
It represents an ordered pair that is included as part of the graph
What is the slope of the line 6y - 4x = 10?
m = 2/3
What is the slope of y = 3x + 2?
m = 3
Is the following correspondence a function?
Domain Range
Clemson -----> Tigers
Clemson -----> University
Florida -------> Gators
No, the correspondence is not a function.
Given f(x)= 1/(x-3)2, find f(n).
f(n) = 1/(n2-6n+9)
What is a piecewise function?
Function using different output formulas for different parts of the domain
What is the point-slope equation of a line?
y - y1= m(x - x1)
What is the slope of the line y = -3?
m = 0
Is the following correspondence a function?
Domain Range
Clemson ----> Tigers
LSU ---------> Tigers
Florida ------> Gators
Yes, the correspondence is a function.
Given f(x) = 2x + 4, find f(x2+6).
f(x2+6)= 2x2+16
What does (x, f(x)) represent?
It represents the ordered pair of a function.
What is the slope of the line x = 5?
m is undefined
How do you solve for the y-intercept of a function?
Set the equation such that x=0
Is the equation x = -3 a function? Why?
No, it is not a function.
Given f(x) = x - x2, find (f(x+h) - f(x)) / h.
= 1 - 2x - h
Given g(x)=2 for x=5 ang g(x)= 2x-6 when x does not equal 5, what is g(x) when x=7.
g(x)=8
Find the slope of a line containing the points (-1,7) and (2, -5).
m = -4
Find the equation of a the line containing the points (1,8) and (-4,-2).
y = 2x + 6