New Review Flash Cards
When is a graph symmetric with respect to the x-axis?
A graphic is symmetric for the x axis when for ever point (x,y) there is also the point (x,-y)
When is a graph symmetric with respect to the y axis?
A graph is symmetric with respect to the y axis when for every point (x,y) there is also (-x,y)
When is a graph symmetric with respect to the origin?
A graph is symmetric with respect to the origin when for every point (x,y) there is also the point (-x,-y)
What is the equation of a vertical line?
X = a
Where a is the x-intercept (x,0)
What is the point-slope form of an equation of a line?
When do you use it?
y - y1 = m(x-x 1)
You use it when you have a given point and the slope of a line to find the equation of the line and then another point on the line.
What is the equation of a horizontal line?
Y = b
Where b is the y-intercept (0,y)
What is the slope intercept form of a line?
Explain it’s parts
y = mx + b
y - the point y
x - the point x
m - the slope of the line
b - the coordinate (y) of the y- intercept (0,y)
What does it mean for y to vary inversely with x?
y = k/x
k must be non zero
What does it mean for y to vary directly with x?
y = kx
k is the constant.
To find the model, fill in the variables and solve for k, then you can again fill in the variables using the k constant?
What does it mean for a function to be even and odd?
A function is even if (x,y) and (-x,y) are present (symmetrical to y axis)
Even function:
F(-x) = f(x)
-
A function is odd if (x,y) and (-x,-y) are present (symmetrical to origin)
Odd function:
F(-x) = -f(x)
How do you tell if there is an absolute maximum in an interval (I)
If there is a number (u) in the interval (I) that is greater than > or equal to x values in the interval (I) then
What is a power function?
A power function -
f(x) = axn
or
f(x) = a monomial with a degree of n
What is f(x) = ax
(No power)
?
The graph of a line with a slope of (a) that passes through the origin (y = mx + b —— b is 0)
What is f(x) = ax2
(Squared power)
?
A parabola with a vertex at the origin
How do you reflect an equation about the x-axis?
Multiply the outcome — f(x) — by -1
y = -f(x) is the reflection about the x-axis of
y = f(x)
