Function Notation
If f(x) = x - 7, find f(-4).
f(-4) = -11
How do you know if a relation is NOT a function?
Which variable represents slope in the equations y=mx+b?
m represents the slope.
What is the standard form of a line?
Ax + By = C
If f(x) = 3x + 9, find f(6).
f(6) = 27
Is the following relation a function?
{(0,1), (2, 3), (3, 2), (0, 4)}
NO, zero repeats in the domain
What is the slope formula?
m = y2 - y1 / x2 - x1
Convert the following equation to slope-intercept form.
6x + y = 7
y = -6x + 7
If g(x) = x2 + 7x - 3, find g(1).
g(1) = 5
Is the following relation a function?
{(-3, 3), (9, 3), (8, 3), (4, 3)}
YES, none of the x-values repeat
Find the slope between these two points:
(5, 9) (6, 18)
m = 9
Convert the following equation to slope-intercept form.
4x + 2y = -8
y = -2x - 4
If f(x) = 3x2 - 2x - 1, find f(-3).
f(-3) = 32
How do we determine if a graph contains a function or not?
Use the vertical line test.
Find the slope between these two points:
(7, 10) (3, 10)
m = 0
Convert the following equation to slope-intercept form.
8x - 3y = 9
y = 8/3x - 3
h(9) = 2
x2 + y2 = 9
NO!
Find the slope between these two points:
(-6, 7) (-6, 4)
m is undefined.
Convert the following equation to slope-intercept form:
-2x - 5y = 17
y = -2/5x - 17/5