Equations
-4x + 3x = 2
What is x equals -2
Solve the inequality
3.5x + 19 > 1.5x - 7
x > -13
What is the slope?
y = -3x - 5
-3
Continuous or Discrete?
{(0, 5), (-2, 3), (1, 4), (-3, 1)}
Discrete
What is the vertex?
f(x) = lx -3l - 1
(3, -1)
Many or No Solutions
4x + 6 = 2(2x + 3)
Many
Solve the inequality
Many or No Solution
4x - 5 < 2(2x - 3)
-5 < -6
No Solution
What is the slope of a line with two points:
(-1, -2) and (3, 4)
The slope is 3/2
True or False
A circle is a linear function
False
Where two lines meet and create a corner
What is a vertex?
Many or No Solution
What is the value of x
6x - 5 = 2(3x + 4)
No Solution
-5(2x - 3) < 34
x > -1.9
What is the y-intercept of a line that passes through the points (-1, -2) and (3, 4)
The y-intercept is -1/2
The following coordinates is a Linear Function:
TRUE OR FALSE.. Why
{(0, 5), (-2, 3), (1, 4), (-2, 1)}
False because there are two inputs with the same value.
-2
The function is narrower when...
the slope is a fraction or the denominator is larger than the nominator
P = 2r + 2w
w = (P - 2r)/2
Using a number line, graph the inequality on -2 with a close circle shaded to the left.
Write in standard form:
Slope = 1/2 Point on the line is (3, -2)
y + 2 = 1/2(x - 3
Find the value of f(5)
f(x) = -2(x + 1)
f(5) = -12
What is the absolute value function with a vertex of (-3, 6) and a slope of -3/2
f(x) = -3/2 l x+3 l + 2
Solve for w
p = 2(r + w)
w = (p - 2r)/2
What is the solution of
-12 < 7x + 9 < 16
and graph the solution
-3 < x and x < 1
-3 < x < 1
What is the slope of the perpendicular line to
y = 4/3x + 2
-3/4
What is the new linear function and Describe the Transformation:
f(x) = x + 2 --> g(x) = (x-1) + 2
y-intercept?
Slope?
Range:
Domain:
Shifted up, down, left, or right?
g(x) = x + 1
y-intercept? 1
Slope? 1
Range: All real numbers
Domain: All Real numbers
Shifted up, down, left, or right? Shifted one unit to the left
What kind of function and Describe the Transformation:
f(x) = l x l --> g(x) = -lx-1l + 5
Vertex?
Slope?
Absolute Value function
Vertex? (1,5)
Slope? Same
Up or Down? Down
Max or Min? Max of 5
Shifted up, down, left, or right? Shifted right one unit and Shifted up 5 units