Domain, Range, Characteristics
Inverses/Inequality
Absolute Values
100
What is the domain of the following diagram:
What is -2, 0, 2, 4? (Domain is the x's and range is the y's)
100
Find the inverse of f(x) = 3x + 4
What is f '(x) = (x-4)/3
100
Describe the transformations from f(x) = |x| to g(x) = |x+2| - 5.
What is g(x) is down 5 and to the left 2 from f(x)
200
Write the following in set and interval notations:
What is Set: {x| -1≤x<3}, Interval: [-1,3)
200
Determine if the following functions are inverses of one another: f(x) = (1/4)x - 5 and g(x) = 4x + 5
What is No? (The inverse of f(x) should be 4x +20)
200
Write the function that represents the graph and write the range in set notation.
What is f(x) = |x+3|-6 and the range in set notation is {y|y≥-6}
300
Write the domain and range in interval and set notation for the following graph:
What is Domain Interval: (-∞,∞), Domain Set: {x|All real numbers}, Range Interval: [-1,∞), Range Set: {y|y≥ -1}
300
Johnny Boy makes $410 on average per week at a boot barn. The amount can vary by $75 depending on his commissions. Find the range of how much Johnny Boy makes per week. (Write an interval to represent the situation)
What is [$335, $485]
300
Evaluate f(x) = 3|x-4| for x=-3, x=0, and x=3
What is 21, 12, and 3?
400
Describe the end behavior of the following graph:
What is As x→∞, y→∞, As x→-∞, y→∞
400
Solve By Graphing
3|(x-4)| < 9
What is 1 < x < 7? (AND Problem)
400
Solve by graphing |x|+4 = 7
What is x=3 and x=-3?
500
Which of the following intervals in the picture are increasing:
(-3,-1), [-1,3), (0,3), (3,4)
What is (-3,-1) and (3,4)?
500
Solve By Graphing
3|x-4|+2>8
What is x>6 or x<2? (OR problem)