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Problem 14

Use function notation to write the equation of each line with the given slope and \(y\) -intercept. Slope \(\frac{1}{2} ; y\) -intercept \((0,-6)\)

Problem 15

Use function notation to write the equation of each line with the given slope and \(y\) -intercept. Slope 2: \(y\) -intercept \(\left(0, \frac{3}{4}\right)\)

Problem 15

Graph each piecewise-defined function. Use the graph to determine the domain and range of the function. $$g(x)=\left\\{\begin{array}{lll} {-2} & {\text { if }} & {x \leq 0} \\ {-4} & {\text { if }} & {x \geq 1} \end{array}\right.$$

Problem 15

If \(y\) varies inversely as \(x,\) find the constant of variation and the inverse variation equation for each situation. See Example \(3 .\) $$ y=100 \text { when } x=7 $$

Problem 16

Graph each piecewise-defined function. Use the graph to determine the domain and range of the function. $$f(x)=\left\\{\begin{array}{lll} {-1} & {\text { if }} & {x \leq 0} \\ {-3} & {\text { if }} & {x \geq 2} \end{array}\right.$$

Problem 16

Use function notation to write the equation of each line with the given slope and \(y\) -intercept. Slope \(-3: y\) -intercept \(\quad 0,-\frac{1}{5}\)

Problem 16

If \(y\) varies inversely as \(x,\) find the constant of variation and the inverse variation equation for each situation. See Example \(3 .\) \(y=63\) when \(x=3\)

Problem 17

Use function notation to write the equation of each line with the given slope and \(y\) -intercept. Slope \(\frac{2}{7}: y\) -intercept \((0,0)\)

Problem 17

If \(y\) varies inversely as \(x,\) find the constant of variation and the inverse variation equation for each situation. See Example \(3 .\) $$ y=\frac{1}{8} \text { when } x=16 $$

Problem 17

Sketch the graph of function. $$f(x)=|x|+3$$

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