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Graphs
Functions
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Word
Grab Bag
100
Find the x- and y-intercept: (x/5)+(y/3)=1
What is (5,0) and (0,3)?
100
Sketch the graph and find the intervals over which the given function is increasing, is decreasing, or is constant: f(x) = 5(x^2).
What is Decreasing on (-infinity,0) and Increasing on (0,infinity)?
100
Find the inverse of f(x)=1+(1/x) and then f(f^(-1)(x)).
What is (1/(x-1)) and x?
100
True or False. If a graph is symmetric about the x-axis, then it must have at least one x-intercept.
What is False? (The winning team must give an example)
200
Find the distance between P and Q and the coordinates of the line segment PQ: P(2,1) and Q(2,5)
What is 4 and (2,3)?
200
Find the domain of this function: f(x) = 3/(sqrt(4-x))
What is (-infinity,4)?
200
For f(x)=x^3, find a. f(2) b. f^(-1)(8) c. f(f^(-1)(15))
What is 8, 2, and 15?
200
If f(-2)=7, then -2 is in the _____________ of the function f and 7 is in the _________ of f.
What is domain and range?
200
How do you spell your PLUS Leader's first name?
What is M-I-C-H-O-L-E?
300
Describe the transformations that produce the graph of h from the graph of f: f(x)=x^3 g(x) = ((x-2)^3)+1
What is shift two units right and one unit up?
300
Let f(x) = 1 + (1/x) and g(x) = (1+x)/(1-x). What is f(g(x))?
What is 1+((1-x)/(1+x))?
300
An object is thrown up from the top of a building that is 320 feet high. The equation y=(-16t^2)+128t gives the object's height (in feet) above the building at any time t (in seconds) after the object is thrown. What is the height of the object after 0 and 5 seconds?
What is 320 feet and 560 feet?
400
Find the x- and y- intercepts of the graph of this circle: (x^2)+(y^2)-2x-2y-4=0
What is 1+sqrt(5) and 1-sqrt(5) for the x- and y- intercepts?
400
A computer notebook manufacturer has a daily fixed cost of $10,500 and a marginal cost of $210 per notebook. Find the cost of producing 50 notebooks per day. (Hint: First find an equation for the daily cost C(x) of manufacturing x notebooks per day).
What is $21,000? (Hint: C(x) = 210x+10,500)
400
What sections will your test cover on Thursday?
What is 1.1-1.7, 2.1,2.2,2.5? -OR- What is graphs of equations, lines, functions, library of functions, transformations of functions, combining functions: composite functions, inverse functions, quadratic functions, polynomial functions, and rational functions?
500
Write an equation for a function that fits the given description: The graph of f(x)=sqrt(x) is shifted three units left, reflected in the x-axis, and shifted down two units.
What is y=-sqrt(x+3)-2
500
Let f(x) equal the problem on the board: Find f(-2), f(-1), and f(3).
What is -1, -1, and -1?
500
Chris purchased a car at 0% interest for five years. After making a down payment, she agreed to pay the remaining $36,000 in monthly payments of $600 per month for 60 months. a) What does the function f(x)= 36,000-600x represent? b) Find the inverse of the function in part a) and what does that represent?
What is the balance due after x months and the inverse is 60-(x/600) representing the number of months that have passed from the first payment until the balance due is $x?