Chapter 2: Q. 2 (page 124)
Determine whether each relation represents a function. For each function, state the domain and range.
The given relation is not a function.
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Match each graph to its function.
A. Constant function
B. Identity function
C. Square function
D. Cube function
E. Square root function
F. Reciprocal function
G. Absolute value function
H. Cube root function
In Problems 7–18, match each graph to one of the following functions:
Graph the function using the techniques of shifting, compressing, stretching, and/or reflecting. Start with the graph of the basic function and show all stages. Be sure to show at least three key points. Find the domain and the range of each function. Verify your results using a graphing utility.
In March , Nicor Gas had the following rate schedule for natural gas usage in single-family residences:
Monthly customer charge
Distribution charge
First therms
Next therm
Over therm
Gas supply charge
(a) What is the charge for using therms in a month?
(b) What is the charge for using therms in a month?
(c) Develop a model that gives the monthly charge for therms of gas.
(d) Graph the function found in part (c).
Exploration Graph . Then on the same screen graph . Could you have predicted the result?
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