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Problem 11

Sketching Lines In Exercises 11 and \(12,\) sketch the lines through the point with the indicated slopes. Make the sketches on the same set of coordinate axes. $$ (3,4) \quad \text { (a) } 1 \quad \text { (b) }-2 \quad \text { (c) }-\frac{3}{2} \quad \text { (d) Undefined } $$

Problem 12

Sketching Lines In Exercises 11 and \(12,\) sketch the lines through the point with the indicated slopes. Make the sketches on the same set of coordinate axes. $$ \left(\begin{array}{cccccc}{-2,5} & {} & {\text { (a) } 3} & {\text { (b) }-3} & {\text { (c) } \frac{1}{3}} & {\text { (d) } 0}\end{array}\right. $$

Problem 12

Finding the Domain and Range of a Function In Exercises \(11-22,\) find the domain and range of the function. $$ g(x)=x^{2}-5 $$

Problem 12

Sketching a Graph by Point Plotting In Exercises \(5-14\) , sketch the graph of the equation by point plotting. $$ y=\sqrt{x+2} $$

Problem 13

Finding the Domain and Range of a Function In Exercises \(11-22,\) find the domain and range of the function. $$ f(x)=x^{3} $$

Problem 13

Finding Points on a Line In Exercises \(13-16\) , use the point on the line and the slope of the line to find three additional points that the line passes through. (There is more than one correct answer.) $$ (6,2) \quad m=0 $$

Problem 13

Sketching a Graph by Point Plotting In Exercises \(5-14\) , sketch the graph of the equation by point plotting. $$ y=\frac{3}{x} $$

Problem 14

Sketching a Graph by Point Plotting In Exercises \(5-14\) , sketch the graph of the equation by point plotting. $$ y=\frac{1}{x+2} $$

Problem 14

Finding the Domain and Range of a Function In Exercises \(11-22,\) find the domain and range of the function. $$ h(x)=4-x^{2} $$

Problem 15

Finding Points on a Line In Exercises \(13-16\) , use the point on the line and the slope of the line to find three additional points that the line passes through. (There is more than one correct answer.) $$ (1,7) \quad m=-3 $$

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