CPM Homework Help : CCA2 Problem C-59

Graph the piecewise function $f ( x ) = \left\{ \begin{array} { l l } { 2 ^ { x } } & { \text { if } x \geq 0 } \\ { | x | } & { \text { if } x < 0 } \end{array} \right.$ .

Hint:

Start by making a table of points for each of the two parts of the function.

2 - x, y, tables. Top: expression, 2 raised to the x, top row: x, 0, 1, 2, 3, 4, 5, 6. bottom row: y. Bottom: expression, absolute value of x, top row: x, negative 1, negative 2, negative 3, negative 4, negative 5, negative 6, negative 7, bottom row, y.

More Help:

Added to the top, x, y table, in second row: y, 1, 2, 4, 8, 16, 32, 64. Added to the bottom, x, y table, in second row: y, 1, 2, 3, 4, 5, 6, 7.

Show Function:

Piece wise graph: left side, line segment from the point (negative 7, comma 7), to the origin. right side: increasing curve, opening up, starting at the point (0, comma 1), & passing through the point (1, comma 1), & (2, comma 4).