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Problem 5

For each function: I. Evaluate the given expression. b. Find the domain of the function. \- Find the range. [Hint: Use a graphing calculator. You may have to ignore some false lines on the graph. Graphing in "dot mode" will also eliminate false lines.] $$ f(x)=\frac{x^{2}}{x-1} ; \text { find } f(-1) $$

Problem 5

Evaluate each expression without using a calculator. $$ \left(\frac{1}{2}\right)^{-3} $$

Problem 5

Write each interval in set notation and graph it on the real line. Given the equation \(y=5 x-12\), how will \(y\) change if \(x\) : a. Increases by 3 units? b. Decreases by 2 units?

Problem 6

Write each interval in set notation and graph it on the real line. Given the equation \(y=-2 x+7\), how will \(y\) change if \(x\) : a. Increases by 5 units? b. Decreases by 4 units?

Problem 6

For each function: I. Evaluate the given expression. b. Find the domain of the function. \- Find the range. [Hint: Use a graphing calculator. You may have to ignore some false lines on the graph. Graphing in "dot mode" will also eliminate false lines.] $$ f(x)=\frac{x^{2}}{x+2} ; \text { find } f(2) $$

Problem 6

Evaluate each expression without using a calculator. $$ \left(\frac{1}{3}\right)^{-2} $$

Problem 7

Evaluate each expression without using a calculator. $$ \left(\frac{5}{8}\right)^{-1} $$

Problem 7

For each function: I. Evaluate the given expression. b. Find the domain of the function. \- Find the range. [Hint: Use a graphing calculator. You may have to ignore some false lines on the graph. Graphing in "dot mode" will also eliminate false lines.] $$ f(x)=\frac{12}{x(x+4)} ; \text { find } f(2) $$

Problem 7

Find the slope (if it is defined) of the line determined by each pair of points. \((2,3)\) and \((4,-1)\)

Problem 8

Evaluate each expression without using a calculator. $$ \left(\frac{3}{4}\right)^{-1} $$

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