Functions
How is "f(x)" read out loud?
"f of x"
What is the slope-intercept equation?
y=mx+b
What is the point-slope equation?
(y-y1)=m(x-x1)
What is |-7|
7
Describe what happens to f(x) when you add 2
f(x)+2
Vertical Shift up 2
Determine if the relation
{(1, 2), (2, 3), (1, 4)}
is a function.
No
Find the slope of the line represented by the equation y=2x+5
2
What is the slope of the line
y+5=1/2(x-4)
1/2
Graph y=|x|
Coach Laughary will grade this
Describe the transformation of f(x)
f(x+3)
Horizontal Shift left 3
What is the name of the test that can be used to determine if a relation is a function by looking at a graph.
Vertical Line Test
y=-3x+4
+4
Write the equation of the line with a slope of 5 that passes through the point (4, -3) in point-slope form.
y+3=5(x-4)
What is the vertex of y=|x+4|-2
(-4,-2)
What saying did Coach Laughary give to help you remember that x values are the opposite of what you expect?
"X's are weird"
(exes are weird)
Given f(x)=5x+2
Evaluate f(4)
22
Write the equation of a line with a slope of 3 that passes through the point (0, -1) in slope-intercept form.
y=3x-1
What point does the equation go through?
y+2=2(x-4)
(4,-2)
What is the Axis of Symmetry for the equation
y=2|x+1|+1
x=-1
What is the general form of the absolute value equation?
y=a|x-h|+k
Given g(x)=6x-14
Evaluate f(-3)
-32
Find the slope of the line passing through the points
(1, 2) and (3, 8)
3
Find the equation of the line passing through the points
(1, 2) and (3, 8)
y-2=3(x-1) OR y-8=3(x-3)
Graph y=2|x-1|-2
Coach Laughary will grade this
Describe the transformations of f(x). (Order matters)
3*f(x)-2
1. Stretch by factor of 3
2. Shift down 2 units