88. Graphical Reasoning Consider the function 1 f(x) = cos and its graph, shown in the figure below. -2+ (a) What is the domain of the function? (b) Identify any symmetry and any asymptotes of the graph. (c) Describe the behavior of the function as x→0. (d) How many solutions does the equation cos have in the interval [– 1, 1]? Find the solutions. (e) Does the equation cos(1/x) = 0 have a greatest solution? If so, then approximate the solution. If not, then explain why.
88. Graphical Reasoning Consider the function 1 f(x) = cos and its graph, shown in the figure below. -2+ (a) What is the domain of the function? (b) Identify any symmetry and any asymptotes of the graph. (c) Describe the behavior of the function as x→0. (d) How many solutions does the equation cos have in the interval [– 1, 1]? Find the solutions. (e) Does the equation cos(1/x) = 0 have a greatest solution? If so, then approximate the solution. If not, then explain why.
88. Graphical Reasoning Consider the function 1 f(x) = cos and its graph, shown in the figure below. -2+ (a) What is the domain of the function? (b) Identify any symmetry and any asymptotes of the graph. (c) Describe the behavior of the function as x→0. (d) How many solutions does the equation cos have in the interval [– 1, 1]? Find the solutions. (e) Does the equation cos(1/x) = 0 have a greatest solution? If so, then approximate the solution. If not, then explain why.
Graphical Reasoning Consider the function f(x) = cos 1 x and its graph, shown in the figure below. x −π π 1 2 −2 y (a) What is the domain of the function? (b) Identify any symmetry and any asymptotes of the graph. (c) Describe the behavior of the function as x→0. (d) How many solutions does the equation cos 1 x = 0 have in the interval [−1, 1]? Find the solutions. (e) Does the equation cos(1x) = 0 have a greatest solution? If so, then approximate the solution. If not, then explain why
Expression, rule, or law that gives the relationship between an independent variable and dependent variable. Some important types of functions are injective function, surjective function, polynomial function, and inverse function.
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