91Ó°ÊÓ

Describing Transformations Suppose the graph of \(f\) is given. Describe how the graph of each function can be obtained from the graph of \(f\) (a) \(f(x+5)\) (b) \(f(x)+4\)

Graphing Functions Sketch a graph of the function by first making a table of values. $$f(x)=\frac{x-3}{2}, \quad 0 \leq x \leq 5$$

Identifying Linear Functions Determine whether the given function is linear. If the function is linear, express the function in the form \(f(x)=a x+b\). $$f(x)=x(4-x)$$

Describing Transformations Suppose the graph of \(f\) is given. Describe how the graph of each function can be obtained from the graph of \(f\) (a) \(f(-x)\) (b) \(3 f(x)\)

Graphing Functions Sketch a graph of the function by first making a table of values. $$f(x)=-x^{2}$$

Function Notation Express the rule in function notation. (For example, the rule "square, then subtract \(5 "\) is expressed as the function \(f(x)=x^{2}-5 .\) ) Subtract \(1,\) then square

Find \(f+g, f-g, f g,\) and \(f / g\) and their domains. $$f(x)=x^{2}+x, \quad g(x)=x^{2}$$

Find \(f+g, f-g, f g,\) and \(f / g\) and their domains. $$f(x)=3-x^{2}, \quad g(x)=x^{2}-4$$

Describing Transformations Suppose the graph of \(f\) is given. Describe how the graph of each function can be obtained from the graph of \(f\) (a) \(-f(x)\) (b) \(\frac{1}{3} f(x)\)

Graphing Functions Sketch a graph of the function by first making a table of values. $$f(x)=x^{2}-4$$