Identifying Linear Functions
What is a function whose graph forms a straight line called?
linear function
What is the standard form of y=-2x+3?
2x+y=3
Define y-Intercept:
The y-coordinate of the point at which a graph crosses the y-axis.
Define continuous:
When the domain of a relation has an infinite number of elements and the relation can be graphed with a line or smooth curve
What is the standard form of a linear equation?
Ax+By=C
Identify A, B, and C from the following equation: y=2x-5
A=-2, B=1, C=-5
Define x-intercept:
The x-coordinate of the point at which a graph crosses the x-axis.
Find the x and y intercepts of: x+y=2
x-intercept=2, y-intercept=2
Tell whether the function is linear and turn it into standard form of linear equation: y=x+3
Yes can be written as -x+y=3
What is the standard form of 3x-6y+9=0?
3x-6y=-9
Give an example of an equation in standard form:
Any equation in the form of AX+By=C.
Is the relation a function: {(5, 6), (-3, 0), (1, 1), (-3, 6)}
Not a function. (repeated value in the domain =-3)
Is 1/2x=y+3 a Linear Equation?
Yes it is linear
Identify A, B, and C of -3x+6y-9=0
A=-3, B=6, C=9
Define linear function:
A function whose ordered pairs satisfy a linear equation.
Solve: |x-3|=6
x=-3 and x=9
Tell whether the function is linear: y+x=2
Yes it is linear.
What is the standard form of: -3x+2x-y=2y+3-5
-x+y=-2
Define Linear equation (a complete definition):
A linear equation has no operations other than addition, subtraction, and multiplication of a variable by a constant. The variables may not be multiplied together or appear in a denominator. A linear equation does not contain variables with exponents other than 1. The graph of a linear equation is always a line.
Solve: |x+2|<-5
Empty Set