91Ó°ÊÓ

Let \(f(x)=x^{2}+3 x\) and \(g(x)=2 x-1 .\) Perform the composition or operation indicated. $$(f \circ g)(3)$$

Skills For each piecewise-defined function, find (a) \(f(-5),\) (b) \(f(-1),\) (c) \(f(0),\) and (d) \(f(3)\) ) Do not use a calculator. $$f(x)=\left\\{\begin{array}{ll} 2+x & \text { if } x<-4 \\ -x & \text { if }-4 \leq x \leq 2 \\ 3 x & \text { if } x>2 \end{array}\right.$$

Write the equation that results in the desired transformation. Do not use a calculator. The square root function, vertically shrunk by applying a factor of 0.2 and reflected across the \(x\) -axis

Skills For each piecewise-defined function, find (a) \(f(-5),\) (b) \(f(-1),\) (c) \(f(0),\) and (d) \(f(3)\) ) Do not use a calculator. $$f(x)=\left\\{\begin{array}{ll} -2 x & \text { if } x<-3 \\ 3 x-1 & \text { if }-3 \leq x \leq 2 \\ -4 x & \text { if } x>2 \end{array}\right.$$

Let \(f(x)=x^{2}+3 x\) and \(g(x)=2 x-1 .\) Perform the composition or operation indicated. $$(g \circ f)(-2)$$

Fill in each blank with the correct response. Do not use a calculator. The function \(f(x)=x^{4}+x^{2}\) is an ______ function. (even/odd)

Let \(f(x)=x^{2}+3 x\) and \(g(x)=2 x-1 .\) Perform the composition or operation indicated. $$(f \circ g)(x)$$

Fill in each blank with the correct response. Do not use a calculator. The function \(f(x)=x^{3}+x\) is an _______ function. (even/odd)

Write the equation that results in the desired translation. Do not use a calculator. The squaring function, shifted 2 units downward and 3 units to the right

Use transformations of graphs to sketch the graphs of \(y_{1}, y_{2},\) and \(y_{3}\) by hand. Check by graphing in an appropriate viewing window of your calculator. y_{1}=x, \quad y_{2}=x+3, \quad y_{3}=x-3