e) Answer the following questions: i) What kind of function is g(x)? Explain your answer. ii) What is the domain and range of g(x)? Explain your answer. iii) Use algebra to determine whether g(x) is an even function, an odd function or neither? Explain your answer. iv) What are the x- and y-intercepts of g(x)? Explain your answer. Round to the nearest hundredths if appropriate. v) Determine the end behavior of g(x). Explain your reasoning. vi) Determine the intervals where g(x) is increasing and decreasing. f) Use your answers from e) above to graph g(x) on graph paper. Label all important points on the graph.
e) Answer the following questions: i) What kind of function is g(x)? Explain your answer. ii) What is the domain and range of g(x)? Explain your answer. iii) Use algebra to determine whether g(x) is an even function, an odd function or neither? Explain your answer. iv) What are the x- and y-intercepts of g(x)? Explain your answer. Round to the nearest hundredths if appropriate. v) Determine the end behavior of g(x). Explain your reasoning. vi) Determine the intervals where g(x) is increasing and decreasing. f) Use your answers from e) above to graph g(x) on graph paper. Label all important points on the graph.
Chapter3: Functions
Section3.7: Inverse Functions
Problem 2SE: Why do we restrict the domain of the function f(x)=x2 to find the function's inverse?
Related questions
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Please complete neatly if possible. Thanks!
Transcribed Image Text:e) Answer the following questions:
i) What kind of function is g(x)? Explain your answer.
ii) What is the domain and range of g(x)? Explain your answer.
iii) Use algebra to determine whether g(x) is an even function, an odd funetion or
neither? Explain your answer.
iv) What are the x- and y-intercepts of g(x)? Explain your answer. Round to the nearest
hundredths if appropriate.
v) Determine the end behavior of g(x). Explain your reasoning.
vi) Determine the intervals where g(x) is increasing and decreasing.
f) Use your answers from e) above to graph g(x) on graph paper. Label all important
points on the graph.
Transcribed Image Text:1. Use f(x) = x' -x² +x and g(x) = 2 f (x +1) + 3 to do the following:
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