Functions
What test do we use to determine if a graph is a function?
Vertical line test
How can we tell if a function is linear?
if it is straight, or if the exponent for X is 1
What is the formula for finding slope?
m = y2 - y1 / x2 - x1
What is slope intercept form?
y = mx + b
Find the domain and range of this relation:
(1,2) , (3,4), (5,6), (7,8)
D: {1, 3, 5, 7}
R: {2, 4, 6, 8}
Is this linear? Why?
y = x +3
What is the slope of a line with these points:
(2,3), (3,6)
m = 2
What is point- slope form?
y - y1 = m(x-x1)
Is this a function? Explain
(-1, 3), (4,5), (3, 6), (-1,7)
No, repeated x's- not every input has exactly one output.
Is this linear?
2x + 3y = 5
yes, the exponent for X is 1, can be written in slope intercept form
Find the slope of the line that has these points:
(-2, 6), (5, 10)
4/ 7
Write the equation in slope intercept form:
slope 4, y-intercept 3
y = 4x +3
Is this a function? Determine if it is one-to-one, onto, both, or neither
(1,3), (-4, 7), (5, 3), (2,2)
Yes a function.
Onto- repeated y's
Write the equation in standard form, then identify A, B, C
8x = 16-4y
8x + 4y = 16
A = 8, B= 4, C=16
Find the slope of the line with the points:
(-2,-3), (-5, -6)
Find the equation of the line, in slope intercept form that is:
Parallel to y= 2x+4, passes through (3,4)
y= 2x - 10
Graph the equation. Determine:
- if it is a function
- if it is 1-1, onto, both, or neither
- domain and range
y = 2x2
graph should look like an upward "U" with vertex at (0,0)
Onto (because there will be repeated Y's)
Domain: all reals
Range: y > 0
Write the equation in standard form, then identify A, B, C.
3y = 1/2 x + 2
-x + 6y = 4
A= -1, B= 6, C=4
Find the slope of the line that is parallel to:
2x + 3y = -4
m = -2/3
Find the equation of the line, in slope intercept form that is:
Perpendicular to y= -1/3 x - 4, passes through (2, -3)
y = 3x-9