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91Ó°ÊÓ

Problem 29

Finding the Slope and \(y\) -lntercept In Exercises \(25-30\) , find the slope and the \(y\) -intercept (if possible) of the line. $$ x=4 $$

Problem 29

Finding the Domain and Range of a Piecewise Function In Exercises \(29-32,\) evaluate the function as indicated. Determine its domain and range. $$ f(x)=\left\\{\begin{array}{ll}{2 x+1,} & {x<0} \\ {2 x+2,} & {x \geq 0}\end{array}\right. $$ $$ \begin{array}{llll}{\text { (a) } f(-1)} & {\text { (b) } f(0)} & {\text { (c) } f(2)} & {\text { (d) } f\left(t^{2}+1\right)}\end{array} $$

Problem 29

Testing for Symmetry In Exercises \(27-38,\) test for symmetry with respect to each axis and to the origin. $$ y^{2}=x^{3}-8 x $$

Problem 30

Finding the Slope and \(y\) -lntercept In Exercises \(25-30\) , find the slope and the \(y\) -intercept (if possible) of the line. $$ y=-1 $$

Problem 30

Finding the Domain and Range of a Piecewise Function In Exercises \(29-32,\) evaluate the function as indicated. Determine its domain and range. $$ f(x)=\left\\{\begin{array}{ll}{x^{2}+2,} & {x \leq 1} \\ {2 x^{2}+2,} & {x>1}\end{array}\right. $$ $$ \begin{array}{llll}{\text { (a) } f(-2)} & {\text { (b) } f(0)} & {\text { (c) } f(1)} & {\text { (d) } f\left(s^{2}+2\right)}\end{array} $$

Problem 30

Testing for Symmetry In Exercises \(27-38,\) test for symmetry with respect to each axis and to the origin. $$ y=x^{3}+x $$

Problem 31

Finding the Domain and Range of a Piecewise Function In Exercises \(29-32,\) evaluate the function as indicated. Determine its domain and range. $$ f(x)=\left\\{\begin{array}{ll}{|x|+1,} & {x<1} \\ {-x+1,} & {x \geq 1}\end{array}\right. $$ $$ \begin{array}{llll}{\text { (a) } f(-3)} & {\text { (b) } f(1)} & {\text { (c) } f(3)} & {\text { (d) } f\left(b^{2}+1\right)}\end{array} $$

Problem 31

Testing for Symmetry In Exercises \(27-38,\) test for symmetry with respect to each axis and to the origin. $$ x y=4 $$

Problem 31

Sketching a Line in the Plane In Exercises \(31-38,\) sketch a graph of the equation. $$ y=-3 $$

Problem 32

Sketching a Line in the Plane In Exercises \(31-38,\) sketch a graph of the equation. $$ x=4 $$

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