Pre-Calc
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Chapter 1: Functions and Graphs
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1.1 Modeling and Equation Solving
Chapter 1: Functions and Graphs
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1.1 Modeling and Equation Solving
5
Match the equation with the appropriate graph.f(x) =
Solve the equation algebraically.x(x - 2) = 35
Solve the equation graphically.3x - 2 = x3 - 5
Solve the problem. The following data set gives the average home value, in...
Solve the problem. Use the graph of f to estimate the local maximum and ...
1.2 Functions and Their Properties
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Determine if the function is bounded above, bounded below, bounded on its ...
Determine if the function is bounded above, bounded below, bounded on its ...
Find horizontal asymptotes
Find horizontal asymptotes (none)
Find the asymptote(s) of the given function.f(x) = horizontal asymptotes(s)
Find the asymptote(s) of the given function.g(x) = horizontal asymptotes(s)
Find the asymptote(s) of the given function.h(x) = vertical asymptotes(s)
Find the domain of the given function.f(x) =
Find the domain of the given function.f(x) =
Find the range of the function.f(x) = (x - 1)2 + 1
Find the range of the function.f(x) = 6x + 14
Graph the function and determine if it has a point of discontinuity at x = 0....
Identify intervals on which the function is increasing, decreasing, or ...
1.3 Twelve Basic Functions
3
Graph the function on your calculator to determine the domain and range from ...
Graph the function on your calculator to determine the domain and range from ...
Match the function with the graph.
1.4 Building Functions from Functions
4
Find functions f and g so that h(x) = f(g(x)).y =
Perform the requested operation or operations.f(x) = 7x + 14; g(x) = 4x - 1F...
Perform the requested operation or operations.f(x) = x2 + 2; g(x) = Find ...
Solve the problem. A satellite camera takes a rectangular - shaped picture...
1.5 Parametric Relations and Inverses
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Determine if the function is one-to-one.
Find a direct relationship between x and y.x = 3t and y = 2t + 7
Find inverse of function
Find the (x,y) pair for the value of the parameter.x = 2t and y = t2 - 2 for ...
Find the inverse of the function.f(x) = x3 + 7
Graph the inverse of the function plotted, on the same set of axes. Use a ...
1.6 Graphical Transformations
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Describe how the graph of y=x2 can be transformed to the graph of the given ...
Fill in the blanks to complete the statement.The graph of can be obtained ...
Find equation for transformation
The graph is that of a function y = f(x) that can be obtained by transforming...
1.7 Modeling with Functions
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Alcohol Mixture
Alloy Mixture
Investing in Two Accounts
Match situation with function
Max Volume of Box (needs work)
Rate Conversion
Silver Iodide Mixture
Silver Iodide Mixture (Simple Calculated)
Solve the problem. Anne and Nancy use a metal alloy that is 24.34% copper ...
Solve the problem. How many liters of a 10% alcohol solution must be mixed...
Solve the problem. In a chemistry class, 9 liters of a 4% silver iodide ...
Solve the problem. Sue invested $10,000, part at 5.1% annual interest and ...
Swimming Pool Dimensions
Use an equation to solve the problem.A tire of a moving bicycle has radius ...
Use an equation to solve the problem.A construction company builds a swimming...
Use an equation to solve the problem.A square of side x inches is cut out of ...
Write a mathematical expression for the quantity described verbally.A salary ...
Write a mathematical expression for the quantity described verbally.The ...
Write a mathematical expression for the quantity described verbally.The total...