Functions, function notation
What test do you use to check if it is a function?
vertical line test
What is slope intercept form?
y=mx+b
A system of two linear equations with no solution means the graphs of the two lines look like this.
Parallel Lines
When solving an inequality, you must flip the inequality symbol if you do this operation with a negative number.
multiplying or dividing
Which letter of the alphabet has the most water?
C
Let f(x) = -x^2 + 4x - 5. Find f(-3).
f(-3) = -26
what is point slope form?
y-y1 = m(x-x1)
Solve this system:
(7, 3)
On a graph of a system of linear inequalities, this region represents all the solutions.
overlapping shaded region
What word becomes shorter when you add two letters to it?
short
g(x) = -2x2 + 7. Find and simplify g(-3x).
g(-3x) = -18x2 + 7
This is the equation of a line passing through (0, 5) and perpendicular to y = -2x + 7
y = 1/2x + 5
4x - 3y = 24
(3,-4)
Determine if the point (0, 0) is a solution to
2x - 3y > -5
yes
A man is trapped in a room. The room has only two possible exits: two doors. Through the first door, there is a room constructed from magnifying glass. The blazing hot sun instantly fries anything or anyone that enters. Through the second door, there is a fire-breathing dragon. How does he escape?
During the night
Let g(x) = x2 + 4
Find and simplify g(x - 3).
g(x-3) = x2 - 6x + 13
Find the value of k such that the line through (2, 5)$ and (4, k) is parallel to y = 3x - 1
k = 11
3x + 5y = 11
(7,-2)
3x - 2y =<6
y > -2x + 1
graph
What question can you never answer 'Yes' to truthfully?
Are you asleep yet?
Let h(x) = 3x - 1
Find and simplify h(x + 4) - h(x)
12
The line passing through the points (3, -2) and (x, 8) has a slope of 2. What is the value of x?
8
y = 4x - 9
5x - 2y = 12
(2,-1)
Without graphing, determine if the point (-3, 2) is a solution to this system:
yes
What is the answer to this question?
What