Finding Solutions
What is the one solution to |x + 32| = -8
What is {}?
Create a diagram for the following inequality
|x - 1| ≤ 2
What is closed circles on -1 and 3 with shading between -1 and 3.
Consider the function f(x) = |x|. Write an equation of g(x) is f(x) translated to the left 7 units and up 8 units. What is the function rule for g(x)?
What is g(x) = |x + 7| + 8 ?
If the domain of f(x)=|3x+5| is {−2,−1,0,1,2}, what is the range
What is {1,2,5,8,11}?
What is the vertex for the function y = -3|x + 5| + 4?
What is (-5,4) ?
Create a graph that shows solutions at {3,5}
What is an absolute value graph with a slope of one that crosses the x-axis at 3 and 5?
Name all possible solution(s) to the inequality below.
−|x+3|+3≥2
-1.5, -1, -0.5, -2, -3
What is -3 and -2 ?
Draw a piecewise function that matches the inequality
f(x)= {x+4 x<−2
{1/2x+3 x≤−2
What is a graph with a vertex at (-2,2), domain of - infinity to -2, and a range of - infinity to 2.
Determine the domain of the piecewise function on the board, given in interval notation (drawn on board)
What is a domain of [-3,4)?
What is the axis of symmetry for the function y = -3|x + 5| + 4?
What is x = -5?
Create a graph with no solution
What is a v shaped graph that does not cross the x-axis?
Create/Draw a graph represents the solution to the compound inequality?
9x - 5 < -41 or 3x + 13 > 7
What is open circles on -4 and -2 with arrows facing the negative and positive infinity directions?
A professional baseball should weigh 5.125 ounces, with a tolerance of 0.125 ounce. Which absolute value inequality describes the acceptable weights for a baseball?
What is ∣x−5.125∣ ≤ 0.125 ?
What are the domain and range of y = - 4|x| + 4 ?
What is domain all real numbers and rangle y ≤ 4 ?
What is the vertex of the function f(x) = |x| when it is translated left 2 units and down 5 units.
What is (-2,-5)?
If |3x - 5| - 6 =4, then —
What is x = - 5/3, x = 5 ?
Solve the inequality below. Write your answer in interval notation
|2x−3|+5≥10
What is (- infinity, -1] or [4, +infinity)?
f(x)={−x+4 x≥−2
{2x−3 x<−2
Determine f(−3) in the piecewise function above.
What is -9?
Determine the range of the piecewise function on the board, given in interval notation (drawn on board)
What is a range of [1,4]?
Give all the transformations of f(x) = -3|x + 2| - 5 from the parent function f(x) = |x|.
What is reflection over the x-axis, a stretch by a factor of 3, translation down 5 units, and a translation left 2 units?
Draw two graphs: one showing a domain of all real numbers and one with a domain from negative infinity to 1 U 1 to positive infinity
LOOK AT WHITE BOARDS AND OR PAPER.
Solve the compound inequality -10 ≤ 2x - 4 < 6 .
What is -3 ≤ x < 5?
The label on a bottle of soda states the bottle contains 16.9 ounces. The manufacturer will produce bottles that are between 16.7 ounces and 17.1 ounces. Write an absolute value inequality that models the expected amount of soda in a bottle from this manufacturer.
What is |x−16.9|≤0.2 ?
Draw me a piecewise function with a domain of all real number and a range of [3, 9).
NEED TO LOOK AT WHITE BOARDS AND OR PAPER.
Identify each function that has transformed the parent function horizontally 3 units.
g(x) = 3|x|
t(x) = |x| + 3
h(x) = |x - 3|
p(x) = |3x|
q(x) = |x + 3|
What is h(x) = |x - 3| and q(x) = |x + 3|?