Functions
f(x)=4x+2 is what type of function?
What is the slope of y=(1/2)x+2?
m=(1/2)
What is slope-intercept form?
y=mx+b
Does h(x)=x^2 - 8 have a minimum or a maximum?
A minimum
What is the y-intercept of y=(1/2)x+2?
b=2
What type of function is g(x)=x^2 + 2x + 4 ?
Quadratic Function
What is the slope of a line that passes through the points (0, 5) and (2, 9)?
m=2
Write the equation of a line with a slope of 2 and y-intercept of 7
y=2x+7
What direction does k(x)= -2x^2 + 4x - 12 open?
Downward
What is the y-intercept of y= x - 3 ?
b= -3
(0, 1) (1, 3) (2, 5) (1, 7)
No, this is not a function because the x-value 1 has multiple members of the domain
(1, 3) and (1, 7)
What is the slope of a line that passes through the points (-2, 1) and (3, -5)?
m = -6/5
What is the equation of a horizontal line that passes through (12, 7)?
y=7
The graph of a quadratic is called a _____
Parabola
What is the x-value of the y-intercept?
x=0
Is y=-3x - 1 a function? Why or why not?
Yes, this is a function because it is a linear function in which each member of the domain maps to a single, unique member of the range.
What can be said about the slopes of two lines that never intersect?
Parallel lines have the same slope
Write the equation of a line that has a slope of -2 and passes through the point (-4, 10)
y= -2x +2
The minimum point on a quadratic that opens upward is called ________.
What is the y-intercept of 1x+2y=12?
b=6
Is the following a function? Why or why not?
y^2 + x^2 = 1
This is not a function because the graph is a circle with center at the origin and radius 1. It does not pass the vertical line test. Each x-value has multiple y-values.
Ex: (0, 1) and (0, -1)
What is the slope of 2y+6x=12?
m=-3
What is the equation of a line parallel to y=7x-12 and has the same y-intercept as 2x+3y=9?
y=7x+3
for h(-3)
h(-3)=-3
What is the y-intercept of p(x)= -x^2 + 4x - 2
b=-2