Functions
What's function? explain.
a special type of relationship between two sets where each input has exactly one output
Is this a function?
{(1, 2), (2, 3), (2, 4)}
No, because when your input is 2 it cannot equal 3 & 4
Algebra: What is the equation for graphing a linear equation?
Algebra: The equation, 'y= mx + b' is for graphing linear equations.
Find the slope: 2(3x - y) = -10
3
(3x+2)(2x-5)
6x2-11x-10
Vertical line test
Algebra: The following equation, f(x)=2x+3
is a function and you need to solve for f(-3)...
Algebra: f(-3)=-3
Write the following equation in slope-intercept form: 5(x + 2y) = 20
y = -1/2x + 2
What is the slope of the following equation:
2x + 2y = 8
slope = -1
(x+3)(x-3)
x2-9
There are three main types of correlation, what is it?
positive, negative, and no correlation
Algebra: Is this a function?
{(2,3), (2,-3), (3,3), (4,4)}
Algebra: This set does not represent a function. The x-coordinate 2 maps to two different y-values (3 and -3), which violates the definition of a function.
Algebra: In the equation, 'y=mx+b,' what does 'm' and 'b' stand for?
Algebra:
'm' = slope (or the movement up/down and right/left, or also referred to as 'Rise over Run')
'b' = y-intercept (the point on the y-axis where your graph crosses/intersects)
What is the slope of the line perpendicular to 3x+2y=12
2/3
(2x-5)(3x-7)
6x2-29x+35
What is Function notation?
Function notation is a way of naming and writing functions using a letter followed by the input variable in parentheses, for example, f(x).
Algebra: Is this a function?
{(1,2), (2,3), (3,4), (4,5)}
This set does represent a function. Each x-coordinate is unique, so no x-coordinate goes to more than one y-coordinate.
What is equation for quadratic function?
f(x) = ax² + bx + c
What is the slope of the line x=4
undefined
(3x+2)2
9x2+12x+4
What is coordinate point?
A function on a coordinate plane is a visual representation of a mathematical relationship where each input value (x-coordinate) corresponds to exactly one output value (y-coordinate).
Algebra: Look at the coordinates below to determine if it is a function or not, and then, identify the domain ('x' values) and range ('y' values)...
{(-2,3), (-1,4), (0,5), (-1,4), (1,-4)
Yes, the coordinates are a function
D: {(-2, -1, 0, -1, 1)}
R: {(3, 4, 5, 4, -4)}
Algebra: Write down and explain in your own words, describe how 'Standard Form' is written out.
Algebra: Write down, in your own words, how to describe what an 'intercept' is when we are talking about graphing...
Algebra: Here is an example of what a full credit answer for the definition of what an 'intercept,' would look like (your answer should contain some or all of the parts of the definition)...
Sample Response: In the context of graphing, an "intercept" refers to a point where a line or curve crosses/intersects an axis on a coordinate plane. There are typically two types of intercepts, an 'x' and 'y-intercept'.
(-3x+7)(2x-5)
-6x2+29x-35