Linear Functions
When looking at the graph of a line, this visual test to tell whether or not it is a function is called the what?
Vertical line test
Solve
2x-10y=4
x+10y=17
(7, 1)
Solve the systems of equations using substitution.
x = 5
x + y = 12
(5, 7)
Solve the equation |x + 3| = 5.
x = 2 and x = -8.
|2b| ≥ 10
What is b ≥ 5 or b ≤ -5
The domain is represented by the variable __ and the range is represented by __.
1. x
2. y
Solve
2x-3y=9
2x+7y=-1
(2, -1)
Solve the systems of equations using substitution.
y = 2x
x + y = 9
(3, 6)
Solve the equation |2x + 6| = 14.
x = 4 and x = -10.
|2j+4| < 16
-10 < j < 6
When looking at a table of points, you notice that when x=3 the y-values are -2, and +2. Is this a function, why or why not?
NO!!
Every input can only have 1 output.
Solve
2x - 4y = 26
3x - 2y = 15
(1, -6)
Solve the systems of equations using substitution.
x -5y=36
2x+y=-16
(-4,-8)
Solve the equation |1/2x - 4| = 1.
x = 10 and x = 6.
2 + 4|4x+2| >-10
ALL REAL NUMBERS!!!
DUHHHH
Identify whether the relation displays a function. If not, explain
Domain Range
2 4
2 5
4 1
1 2
NOPE!
2 --> 4
2 --> 5
Solve using elimination method
2x+4y=3
3x+6y=8
No solution
Solve the equation |4 - 5x| = -6.
No solution. Absolute value equations cannot equal a negative number, because it represents a distance and distance is always positive.
Solve the equation |4 - 5x| = -6.
No solution. Absolute value equations cannot equal a negative number, because it represents a distance and distance is always positive.
3+4|2/3x + 2| ≤ 15
What is -15/2 ≤ x ≤ 3/2
Write an equation of the line with the given characteristics: slope = 3 y-intercept = 5
y=3x+5
Solve by Elimination
1st Equation: -2x+5y = 1
2nd Equation: 7x+2y = -4
(-22/39,-1/39)
Solve the equation |3x - 6| - 9 = -3.
x = 0 and x = 4.
Solve the equation |3x - 6| - 9 = -3.
x = 0 and x = 4.
-16|5x+5|+15 > -17
What is -7/5 < x < -3/5