Functions and
Domain & Range
Domain & Range
Determine the Slope
Is it a Solution?
X and Y Intercepts
Writing and Graphing Equations
100
Is this a function?
Not A Function
100
Is the slope of this graph positive or negative?
Negative
100
Determine whether the point (2, -3) is a solution to the equation.
x + y = 1
Not a Solution
2 + (-3) = 1
- 1 = 1 is FALSE
100
Does this ordered pair represent the x-intercept or the y-intercept?
(x, 0)
x-intercept
100
Write the equation of a line with the given properties.
slope = -2 and a y-intercept of 5
y = -2x + 5
200
What is the range of this function?
Range: {-7, -4, -1, 2, 5}
200
Determine the slope of the graph
slope = -1/2
200
Determine whether the point (2,2) is on the linear equation.
Yes, (2, 2) is a solution.
y = x
2 = 2 is TRUE
200
Does this ordered pair represent the x-intercept or y-intercept?
(0, y)
y-intercept
200
Graph the equation:
y = 2x + 4
300
Determine the domain of this function set.
{(-3,2), (2,5), (4,6), (5,3), (7,1)}
Domain: {-3, 2, 4, 5, 7}
300
Determine the slope of the equation
y = 3x + 5
slope = 3
300
Determine if (6, 1) is a solution for the equation:
2x - 4y = 7
Not a solution
2(6) - 4(1) = 7
12 - 4 = 7
8 = 7 is FALSE
300
What are the x and y-intercepts?
x-intercept: (7,0)
y-intercept: (0, 3.5)
300
Graph the equation:
4x + 2y = 12
400
Is this a function?
Not a Function
400
Determine the slope of the line passing through the given points
(0, 3) and (4, 2)
(2-3)/(4-0) = (-1)/4 = -1/4
Slope = -1/4
400
Determine if (-4, -1) is a solution to the equation.
y = 4x + 15
Yes it is a solution
(-1) = 4(-4) +15
-1 = -16 +15
-1 = -1 is TRUE
400
Find the y-intercept of the equation. Write your answer in the form (0, y).
y = 6x - 20
y-intercept: (0, -20)
400
Use the provided information to write the linear equation of the line with the given properties. Write your answer in slope-intercept form.
m = 4, and goes through (5, 7)
y = 4x - 3
500
Is this a function?
5(2x+3) + y = 16
Yes:
5(2x+3) + y = 16
10x + 15 + y = 16
10x + y = 1 <- linear function
500
Determine the slope for the given equation
2x - 4y = 16
slope = 1/2
Convert to slope-intercept:
2x - 4y = 16
-4y = 16 - 2x
y = -4 + (1/2)x
500
Determine if (4, 3) is a solution for the equation:
5(2x + 1) + 3y = 54
Yes, it is a solution.
5(2(4) + 1) + 3(3) = 54
5(8 + 1) + 9 = 54
5(9) + 9 = 54
45 + 9 = 54
54 = 54
500
Find the x-intercept of this equation Write your answer in the form (x, 0).
2x + 3y = 6
x-intercept: (3, 0)
2x + 3(0) = 6
2x + 0 = 6
2x = 6
x = 3
500
Use the provided information to write the linear equation of the line with the given properties. Write you answer in slope-intercept form.
goes through points (-1, 6) and (3, -2)
y = -2x + 4