Exam 2: Linear and Quadratic Functions

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Graph the function. State whether it is increasing, decreasing, or constant.. - h(x)=25x+2h ( x ) = - \frac { 2 } { 5 } x + 2  Graph the function. State whether it is increasing, decreasing, or constant.. - h ( x ) = - \frac { 2 } { 5 } x + 2

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Write the word or phrase that best completes each statement or answers the question. -The following data represents the amount of money Tom is saving each month since he graduated from college. month 1 2 3 4 5 6 7 savings \ 52 \ 70 \ 81 \ 91 \ 102 \ 118 \ 132 Using the line of best fit for the data set, predict the amount he will save in the 24th month after graduating from college.

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Determine if the type of relation is linear, nonlinear, or none. -Determine if the type of relation is linear, nonlinear, or none. -

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Determine where the function is increasing and where it is decreasing. - f(x)=x28xf ( x ) = x ^ { 2 } - 8 x

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Find the real zeros of the function. List the x-intercepts of the graph of the function. - f(x)=x41,296f ( x ) = x ^ { 4 } - 1,296

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Graph the function. State whether it is increasing, decreasing, or constant.. - h(x)=3x4h ( x ) = - 3 x - 4

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Find the zero of the linear function. - h(x)=2x+3h ( x ) = - 2 x + 3

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Write the word or phrase that best completes each statement or answers the question. -The following scatter diagram shows heights (in inches) of children and their ages.  Height (inches) \text { Height (inches) }  Write the word or phrase that best completes each statement or answers the question. -The following scatter diagram shows heights (in inches) of children and their ages.  \text { Height (inches) }     Age (years) What happens to height as age increases? Age (years) What happens to height as age increases?

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Graph the function using its vertex, axis of symmetry, and intercepts. - f(x)=x212x+36f ( x ) = x ^ { 2 } - 12 x + 36  Graph the function using its vertex, axis of symmetry, and intercepts. - f ( x ) = x ^ { 2 } - 12 x + 36

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Graph the function. State whether it is increasing, decreasing, or constant.. - f(x)=2x+4f(x)=2 x+4  Graph the function. State whether it is increasing, decreasing, or constant.. - f(x)=2 x+4

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Graph the function f by starting with the graph of y = x2 and using transformations (shifting, compressing, stretching, and/or reflection). - f(x)=4x2f(x)=4 x^{2}  Graph the function f by starting with the graph of y = x2 and using transformations (shifting, compressing, stretching, and/or reflection). - f(x)=4 x^{2}

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Solve the problem. -A flare fired from the bottom of a gorge is visible only when the flare is above the rim. If it is fired with an initial velocity of 176ft/sec176 \mathrm { ft } / \mathrm { sec } , and the gorge is 448ft448 \mathrm { ft } deep, during what interval can the flare be seen? (h=16t2+vOt+\left( h = - 16 t ^ { 2 } + v _ { O } t + \right. hO)\left. \mathrm { h } _ { \mathrm { O } } \right)

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Use a graphing utility to find the equation of the line of best fit. Round to two decimal places, if necessary. - x 1 3 5 7 9 y 143 116 100 98 90

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Solve. -  If f(x)=x (solid line)and g(x)=6 (dashed line), find when f(x)=g(x) and when f(x)>g(x)\text { If } f ( x ) = | x | \text { (solid line)and } g ( x ) = 6 \text { (dashed line), find when } f ( x ) = g ( x ) \text { and when } f ( x ) > g ( x ) \text {. }  Solve. - \text { If } f ( x ) = | x | \text { (solid line)and } g ( x ) = 6 \text { (dashed line), find when } f ( x ) = g ( x ) \text { and when } f ( x ) > g ( x ) \text {. }

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Determine the domain and the range of the function. - f(x)=x24x+5f ( x ) = - x ^ { 2 } - 4 x + 5

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Use a graphing utility to find the equation of the line of best fit. Round to two decimal places, if necessary. - x 0 3 4 5 12 y 8 2 6 9 12

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Plot and interpret the appropriate scatter diagram. -The table gives the times spent watching TV and the grades of several students. Weekly TV () 6 12 18 24 30 36 Grade (\%) 92.5 87.5 72.5 77.5 62.5 57.5 Which scatter diagram describes the data and the relationship, if any?

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employees each year. Choose the one alternative that best completes the statement or answers the question. Use factoring to find the zeros of the quadratic function. List the x-intercepts of the graph of the function. - g(x)=x22x15g ( x ) = x ^ { 2 } - 2 x - 15

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Solve the inequality. - x2+8x+15>0x ^ { 2 } + 8 x + 15 > 0

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Solve the problem. -If g(x)=x23x18g ( x ) = x ^ { 2 } - 3 x - 18 , solve g(x)0g ( x ) \leq 0 .

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