Exam 3: Functions and Their Graphs

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The graph of a function f is given. Use the graph to answer the question. -What is the y-intercept? The graph of a function f is given. Use the graph to answer the question. -What is the y-intercept?

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Solve the problem. -If f(x)= Solve the problem. -If f(x)=   nd f(-5)= -10, what is the value of A? nd f(-5)= -10, what is the value of A?

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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 graph is that of a function. If it is, use the graph to find its domain and range, the intercepts, if any, and any symmetry with respect to the x-axis, the y-axis, or the origin. -Determine whether the graph is that of a function. If it is, use the graph to find its domain and range, the intercepts, if any, and any symmetry with respect to the x-axis, the y-axis, or the origin. -

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The graph of a function f is given. Use the graph to answer the question. -Is f(-50)positive or negative? The graph of a function f is given. Use the graph to answer the question. -Is f(-50)positive or negative?

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Find the value for the function. -Find f(-3)when f(x)= Find the value for the function. -Find f(-3)when f(x)=

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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)=  for the function. -f(x)= Find and simplify the difference quotient of f,   for the function. -f(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 graph is that of a function. If it is, use the graph to find its domain and range, the intercepts, if any, and any symmetry with respect to the x-axis, the y-axis, or the origin. -Determine whether the graph is that of a function. If it is, use the graph to find its domain and range, the intercepts, if any, and any symmetry with respect to the x-axis, the y-axis, or the origin. -

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Solve the problem. -If a rock falls from a height of 60 meters on Earth, the height H (in meters)after x seconds is approximately Solve the problem. -If a rock falls from a height of 60 meters on Earth, the height H (in meters)after x seconds is approximately   When does the rock strike the ground? Round to the nearest hundredth, if necessary. When does the rock strike the ground? Round to the nearest hundredth, if necessary.

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Solve the problem. -A firm is considering a new product. The accounting department estimates that the total cost, C(x), of produx units will beC(x)= 60x + 3,680.The sales department estimates that the revenue, R(x), from selling x units will beR(x)= 70x,but that no more than 485 units can be sold at that price. Find and interpret (R -C)(485).

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

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Determine whether the relation represents a function. If it is a function, state the domain and range. -{(-3, 6), (1, 4), (4, -4), (7, -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   what is the domain of f? what is the domain of f?

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The graph of a function f is given. Use the graph to answer the question. -Use the graph of f given below to find f(-12). The graph of a function f is given. Use the graph to answer the question. -Use the graph of f given below to find f(-12).

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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. -If f(x)= Solve the problem. -If f(x)=   C and f(3)= 1, what is the value of C? C and f(3)= 1, what is the value of C?

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The graph of a function f is given. Use the graph to answer the question. -For which of the following values of x does f(x)= -40? The graph of a function f is given. Use the graph to answer the question. -For which of the following values of x does f(x)= -40?

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