Exam 3: Functions and Their Graphs

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Write the word or phrase that best completes each statement or answers the question. Solve the problem. -The concentration C (arbitrary units)of a certain drug in a patientʹs bloodstream can be modeled using Write the word or phrase that best completes each statement or answers the question. Solve the problem. -The concentration C (arbitrary units)of a certain drug in a patientʹs bloodstream can be modeled using   where t is the number of hours since a 500 milligram oral dose was administered.Using the TABLE feature of a graphing utility, find the time at which the concentration of the drug isgreatest. Round to the nearest tenth of an hour. where t is the number of hours since a 500 milligram oral dose was administered.Using the TABLE feature of a graphing utility, find the time at which the concentration of the drug isgreatest. Round to the nearest tenth of an hour.

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The graph of a function f is given. Use the graph to answer the question. -For what numbers x is f(x)= 0? The graph of a function f is given. Use the graph to answer the question. -For what numbers x is f(x)= 0?

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Solve the problem. -Find Solve the problem. -Find   -5)when f(x)= 2x - 5 and g(x)=  -5)when f(x)= 2x - 5 and g(x)= Solve the problem. -Find   -5)when f(x)= 2x - 5 and g(x)=

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Determine whether the equation defines y as a function of x. -Determine whether the equation defines y as a function of x. -

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Determine whether the equation defines y as a function of x. -Determine whether the equation defines y as a function of x. -

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Determine whether the equation defines y as a function of x. -Determine whether the equation defines y as a function of x. -

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Find the value for the function. -Find -f(x)when f(x)= Find the value for the function. -Find -f(x)when f(x)=

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The graph of a function f is given. Use the graph to answer the question. -How often does the line y = -50 intersect the graph? The graph of a function f is given. Use the graph to answer the question. -How often does the line y = -50 intersect the graph?

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For the given functions f and g, find the requested function and state its domain. -f(x)= For the given functions f and g, find the requested function and state its domain. -f(x)=   Find f + g. Find f + g.

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Solve the problem. -Find (fg)(3)when f(x)= x - 7 and g(x)= Solve the problem. -Find (fg)(3)when f(x)= x - 7 and g(x)=

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Determine whether the relation represents a function. If it is a function, state the domain and range. -Determine whether the relation represents a function. If it is a function, state the domain and range. -

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Find the value for the function. -Find f(-x)when f(x)= Find the value for the function. -Find f(-x)when f(x)=

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Find the domain of the function. -Find the domain of the function. -

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For the given functions f and g, find the requested function and state its domain. -f(x)= 6x - 4; g(x)= 5x + 2Find f ∙ g.

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Find and simplify the difference quotient of f, Find and simplify the difference quotient of f,   for the function. -f(x)= 3x + 1 for the function. -f(x)= 3x + 1

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Answer the question about the given function. -Given the function Answer the question about the given function. -Given the function   is the point (-2, -3)on the graph of f? is the point (-2, -3)on the graph of f?

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Find and simplify the difference quotient of f, Find and simplify the difference quotient of f,   for the function. - for the function. -Find and simplify the difference quotient of f,   for the function. -

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Answer the question about the given function. -Given the function Answer the question about the given function. -Given the function   list the y-intercept, if there is one, of the graph of f. list the y-intercept, if there is one, of the graph of f.

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Find the value for the function. -Find f(x + 1)when f(x)= Find the value for the function. -Find f(x + 1)when f(x)=

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Find the value for the function. -Find f(x - 1)when f(x)= Find the value for the function. -Find f(x - 1)when f(x)=

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