Exam 1: Functions and Their Graphs

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Evaluate the difference quotient for the function. f (x) = 2x - 3

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Find the graph of the equation. Find the graph of the equation.

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Find the slope of the line determined by the equation. Find the slope of the line determined by the equation.

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Find the slope of the line passing through the pair of points. Find the slope of the line passing through the pair of points.

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Let f (x) = 2x + 1, g(x) = 3x - 2. Find the function. Let f (x) = 2x + 1, g(x) = 3x - 2. Find the function.

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Find the slope of the line passing through the pair of points: P (-19,-5); Q (-9,6)

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Determine whether the function is one-to-one. Determine whether the function is one-to-one.

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Find the slope of the line. Find the slope of the line.

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Find the inverse of the one-to-one function. y = 7x

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Write the equation of the line that passes through the point P (1, 4) and is perpendicular to the line y = - 4x + 18.

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Find the distance between the two points Find the distance between the two points   and   . and Find the distance between the two points   and   . .

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Find the midpoint between the two points Find the midpoint between the two points   and   . and Find the midpoint between the two points   and   . .

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Find the inverse of the one-to-one function. y = 5x + 2

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Let Let   . Find the composite function which expresses the given correspondence correctly.  . Find the composite function which expresses the given correspondence correctly. Let   . Find the composite function which expresses the given correspondence correctly.

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Find the graph of the equation. f (x) = | x - 4 |

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Tell where the function is increasing. Tell where the function is increasing.

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Graph the function. Graph the function.

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Which graph represents the function? g(x) = Which graph represents the function? g(x) =        Which graph represents the function? g(x) =        Which graph represents the function? g(x) =        Which graph represents the function? g(x) =

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Find the midpoint of the line segment PQ. P(10, 1), Q(4, 7)

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Determine whether the function is one-to- one. y = 5x

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