Exam 8: More on Functions and Graphs

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Graph the piecewise defined function. - f(x)={−x+5 if x<02x−2 if x≥0f ( x ) = \left\{ \begin{array} { l l } - x + 5 & \text { if } x < 0 \\2 x - 2 & \text { if } x \geq 0\end{array} \right.  Graph the piecewise defined function. - f ( x ) = \left\{ \begin{array} { l l }  - x + 5 & \text { if } x < 0 \\ 2 x - 2 & \text { if } x \geq 0 \end{array} \right.

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Graph the function. - f(x)=∣x−5∣+7f(x)=|x-5|+7  Graph the function. - f(x)=|x-5|+7

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Fill in the blank with one of the words or phrases listed below. slope-intercept directly slope jointly parallel perpendicular function inversely linear function -In the equation y=4x−2y = 4 x - 2 , the coefficient of xx is the______ of the corresponding graph.

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Find an equation of the line. Write the equation using function notation. -Through (3,2)( 3,2 ) ; parallel to 9x+5y=179 x + 5 y = 17

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Graph the linear function. - f(x)=12x−4f ( x ) = \frac { 1 } { 2 } x - 4  Graph the linear function. - f ( x ) = \frac { 1 } { 2 } x - 4

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Graph the function. - f(x)=−xf(x)=-\sqrt{x}  Graph the function. - f(x)=-\sqrt{x}

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Graph the function. - f(x)=∣x+4∣f ( x ) = | x + 4 |  Graph the function. - f ( x ) = | x + 4 |

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Find the equation of the line. Write the equation using standard notation. -Slope 2 ; through (−2,2)( - 2,2 )

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Find the equation of the line. Write the equation using standard notation. -Through (1,3)( 1,3 ) and (0,−2)( 0 , - 2 )

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Graph the function. - g(x)=3x2g(x)=3 x^{2}  Graph the function. - g(x)=3 x^{2}

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Find the equation of the line. Write the equation using standard notation. -Slope −92;- \frac { 9 } { 2 } ; through (2,0)( 2,0 )

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Graph the piecewise defined function. - f(x)={−2 if x<−3−6 if x≥−3f ( x ) = \left\{ \begin{array} { l l } - 2 & \text { if } x < - 3 \\- 6 & \text { if } x \geq - 3\end{array} \right.  Graph the piecewise defined function. - f ( x ) = \left\{ \begin{array} { l l }  - 2 & \text { if } x < - 3 \\ - 6 & \text { if } x \geq - 3 \end{array} \right.

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Fill in the blank with one of the words or phrases listed below. slope-intercept directly slope jointly parallel perpendicular function inversely linear function -Two lines are--------------- if the product of the slopes is -1.

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Find an equation of the line graphed. Write the equation using function notation. -Find an equation of the line graphed. Write the equation using function notation. -

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Find the equation of the line. Write the equation using standard notation. -With slope 314;y\frac { 3 } { 14 } ; y -intercept −57- \frac { 5 } { 7 }

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Use the graph to determine the domain and range of the function. -Use the graph to determine the domain and range of the function. -

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Write an equation to describe the variation. Use k for the constant of proportionality. - ss varies directly as tt and inversely as uu .

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Graph the function. - f(x)=x2+3f(x)=x^{2}+3  Graph the function. - f(x)=x^{2}+3

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Graph the piecewise defined function. - f(x)={x+2 if x<17x if x≥1f(x)=\left\{\begin{array}{ll}x+2 & \text { if } x<1 \\7 x & \text { if } x \geq 1\end{array}\right.  Graph the piecewise defined function. - f(x)=\left\{\begin{array}{ll} x+2 & \text { if } x<1 \\ 7 x & \text { if } x \geq 1 \end{array}\right.

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Find an equation of the line. Write the equation using function notation. - (8,−58),(−5,33)( 8 , - 58 ) , ( - 5,33 )

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