Linear Functions and Inequalities
What is Slope intercept form?
f(x)=m*x+b
What are the three ways to slove them?
Subsititution, Graphing, and Elimination.
Which Parent function links to this equation?
a(x)=x
Linear Parent Function. This function is a continuous line that has a constant rate of change.
What equation represents Vertex Form?
f(x)=a(x-h)2+k
What process do you use to change a quadratic?
Completing the square.
What is a linear inequality?
An equation containing the (<) less than and (>) greater than symbols.
How many solutions do these equations have?
y=2x-4 & y=(x-2)
Infinitely many solutions
What is a Function?
A function is a specific type of relationship where each input maps to exactly one output.
What equation represents Factored Form?
f(x)=a(x-r1)(x-r2)
Solve the following equation:
(7x-1)(x-3)=0
x=1/7
x=3
What is the equation for Vertex Form?
y=a(x-h)2+k
What is the solution to the following equations?y=2x+4 & y=-x-2
One Solution, (-2,-3)
What is a Relation?
A relation is a relationship between sets of elements or sets of numbers.
What equation represents Standard Form?
f(x)=ax2+bx+c
Solve the following: 4x2=24x
x=0
x=6
What is the equation for Point Slope Intercept Form?
y-y1=m/1(x-x1)
10=x+4y & 15=x+9y
One solution, (6,1)
What Function links to this equation below?
b(x)= |x|
This is the Absolute Value Parent Function. This function is also continuous and has a constant rate of change on either side of the vertex.
How would you find the vertex of y=a(x-h)2+k?
You would do (h,k) to find the vertex.
Solve: 3x2-9x=-6
x=2
x=1
What is the equation for Standard Form?
Ax+By=C
What are Systems of Equations?
Systems of Equations are two different equations solved to get an answer. They either have one solution, no solutions, or infinite solutions.
What function links to the following equation?
c(x)=x2
This is the Quadratic Parent Function. It is continuous like the other functions and is in a "U" shape.
How do find the axis of symmetry in an equation?
You take the x value fromt the vertex.
Solve: x2-15x+44=0
x=11
x=4