Linear Graphs
Manipulating Functions
Piece-wise Functions
Combining Functions
Inverse Functions
100
What is the equation for a slope of a line?
(y2-y1)/(x2-x1)
100
Graph the line y=3/2x-1
He who laughs last, thinks slowest.
100
y = 2x+3; x<0 y = 3 - x; x>=0
80% of success is showing up.-Woody Allen
100
f(x) = 2x - 5 and g(x) = 5 Find f(x)-g(x)
2x-10
100
Find the inverse function of f(x) = 6x
f^-1(x) = 1/6
200
Create the the Point-Slope equation of a line that passes through the point (-2,8) and has a slope of 2/9
(y-8) = 2/9(x+2)
200
Graph y=|x+2|+4
There are three types of people. Those who can count, and those who can't.
200
y = x+6; x=<-4 y = 2x-4; x>-4
The two most important days in your life are the day you are born and the day you find out why. –Mark Twain
200
f(x) = x^2 and g(x) = 1-x Find f(x)*g(x)
x^2 - x^3
200
Find the inverse of f(x) = (x-1)/4
f^-1(x) = 4x + 1
300
Find the x and y intercepts of the line 2y + 5x = 8
x-intercept = 4 y-intercept = 8/5
300
Graph y = -(x+1)^2 - 0
You do not need a parachute to skydive, only to skydive twice.
300
y = sqrt(4-x); x<0 y = sqrt(4+x); x>=0
Believe you can and you’re halfway there. –Theodore Roosevelt
300
f(x) = (1/x) and g(x) = 1/x^2 Find (f/g)(x) evaluated at x = 2
(f/g)(2) = 2
300
Find the inverse of f(x) = x^3 + 5 evaluated at x = 13
f^-1(13) = 2 f^-1(x) = cubrt(x - 5)
400
Are the lines that pass through the given points parallel, perpendicular, or neither? What are their slopes? L1: (4,8), (-4,2) L2: (3,-5), (-1,(1/3))
Perpendicular m1= 3/4 m2= -4/3
400
Graph y = (x+1)^3 + 3
On the other hand, you have different fingers.
400
y = x+3; x=<0 y = 3; 02
The way to get started is to quit talking and begin doing. –Walt Disney
400
f(x) = 5x + 4 and g(x) = 4 - x (f o g)(x)
(f o g) = 24-5x
400
Find the inverse of cubrt(3x - 10) evaluated at x = -1
f^-1(-1) = 3 f^-1(-1) = (x^3 + 10)/3
500
Find the Slope-Intercept form of the line passing through the points (5,-1), (0,8)
y=-9/5x + 8
500
Graph y = 1/(x-2) +1
Knowledge is knowing that tomatoes are fruit; wisdom is not putting them in fruit salad.
500
y = x+5; x=<-3 y = -2; -32
The person who says it cannot be done should not interrupt the person who is doing it. –Chinese Proverb
500
f(x) = sqrt(x+4) and g(x) = x^2 Find (g o f)
(g o f) = x + 4
500
f(x) = x + 4 and g(x) = 2x - 5 Find (g^-1 o f^-1)(x)
(x+1)/2
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