Functions
Does the following relation represent a function?
{(-3, 2), (-5, 0), (0, -2), (7, -2), (-5, 4)}
No
If f(x) = -x2 - 3x, find f(-3).
f(-3) = 0
Find the equation of a line with a slope of 3 that passes through point (0, -2).
y = 3x - 2
Identify the x- and y-intercepts of the equation below.
y = -4x + 6
x-int: (3/2, 0)
y-int: (0, 6)
Parallel, Perpendicular, or Neither:
y = 2x - 3, and y = 1/2x +8
neither
Does the following graph represent a function?
(See picture 1 on slideshow)
No
If h(x) = 2x2 + 5x, find h(c - 4).
2c2 - 11c + 12
Find the equation of a line with a slope of -1/2 that passes through point (-5, 3).
y = -1/2x + 1/2
Identify the x- and y-intercepts of the equation below.
5y = 35 + 10x
x-int: (-7/2, 0)
y-int: (0, 7)
Parallel, Perpendicular, or Neither:
y = -4/5x, and y = 5/4x - 3
Perpendicular
Does the following table represent a function?
(See picture 2 on slideshow)
Yes
g(x) = 3|x + 2|
If g(x) = 60, find x.
x = {-22, 18}
Find the equation of a line that passes through the points (-2, 6) and (7, 6).
y = 6
Identify the x- and y-intercepts of the equation below.
-3x + 16y = -48
x-int: (16, 0)
y-int: (0, -3)
Parallel, Perpendicular, or Neither:
2y = 4x + 6, and -8x + 16 = -4y
Parallel
What is the domain and range?
(See picture 3 on slideshow)
D: 0<=x<=10
R: 2<=y<=16
k(x) = -4|x - 5| + 6
If k(x) = 30, find x.
no solution
Find the equation of a line that passes through the points (-4, 5) and (-6, 11).
y = -3x - 7
Identify the x- and y-intercepts of the equation below.
-4/3x + 1/2y = 8
x-int: (-6, 0)
y-int: (0, 16)
BONUS x2) What is the name of Mrs. Mock's dog?
(Hint: it is the name of a US state)
Dakota
What is the domain and range?
(See picture 4 on slideshow)
D: -3<=x<2
R: -5<=y<=4
a(x) = 4x3 - 2x2 + 3x, and b(x) = 3x3
Find a(3) + b(-4).
-93
Find the equation of a line with an undefined slope that passes through the point (-2, 15).
x = -2
Identify the x- and y-intercepts of the equation below.
2/5x - 3/4y = 10
x-int: (25, 0)
y-int: (0, -40/3)