What's Your Function?
Explain what makes a set of ordered pairs a function.
X-values do not repeat. Each x-value matches up with only one y-value.
What is the slope of the line with the equation, y = 3x + 2?
3
The point on a line that intersects the y-axis.
y-intercept
What is the slope and y-intercept of the line y = -3x - 6?
m=-3, b=-6
Is the point (3, -4) a solution to the equation 2y + 3x = -6?
2(-4) + 3(3) = -6
-8 + 9 = -6
1 = -6 NO
Is this a function? Explain. (4, 2) (5, 4) (5, -3) (6, 3) (7, 0)
No. x=5 repeats
Plot the points (3, -4) and (4, -5). Find the slope.
-1
What is the y-intercept of the line whose equation is y = 4x + 2?
2
Graph the line whose equation is y = (1/2)x + 4.
What is the value of x if the point (x, 3) lies on the line whose equation is 2x + 4y = 30?
2x + 4(3) = 30
2x + 12 = 30
2x = 18
x = 9
What is the name of the test that you can use to determine if a graph is a function?
vertical line test
Plot the points (9, 4) and (6, 4). What is the slope?
0
What is the y-intercept of the line whose equation is y = x?
0
Graph the line whose equation is y = -2x -1.
Start at (0,-1), then go down 2 and 1 to the right each time.
Write the equation of the line whose slope is (3/4) and whose y-intercept is -2.
y=3/4x - 2
If the domain of the function f(x) = x is {-5, 3, 7}, what is the range? (DOMAIN = x-values, RANGE = y-values)
{-5, 3, 7}
What is the slope of a vertical line?
No slope/undefined
What is the y-intercept of the line whose equation is y = -6?
-6
Graph the line whose equation is x = -4.
Vertical line that crosses x-axis at (-4,0)
Write the equation of the line whose slope is 4 and whose y-intercept is 9.
y=4x + 9
If you were given a graph of a circle, would it be a function? Explain.
No. Wouldn't pass vertical line test
What is the slope of the line whose equation is y = -x + 4
-1
What is the y-intercept of the equation x = -3?
There isn't one (vertical line)
Graph the line whose equation is y = 3.
Horizontal line that crosses the y-axis at (0,3)
What is the equation of the line that crosses the points (3,4) and (1,-2)?
y = 3x - 5
4- -2 = 6 = 3 = m
3 - 1 24 = (3)(3) + b
b = -5