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Home > APCALC > Chapter 1 > Lesson 1.2.4 > Problem 1-74

1-74.

Use interval notation to state the domain and range of each function below.

  1. Continuous curve, coming from lower left, passing through (negative 3 halves pi, comma negative 1), turning at (0, comma 4), turning at (2 pi, comma negative 2), passing through (3 pi, comma 1), continuing up & right.

  1. Dashed vertical line at, x = 2, & 2 piece curve, left curve, coming from below x axis, passing through the point (1, comma negative 1), continuing to negative infinity, left of vertical line, right curve, starting from infinity right of vertical line, passing through the point (3, comma 1), continuing to the right above the x axis.

Domain and Range Notation

Piecewise graph, left piece, upward parabola, vertex at about (0.5, comma 1), starting at closed point (0 comma 3), & ending at open point (1, comma 3), center piece, downward parabola, vertex at about ((1.5, comma 5), starting at open point (1, comma 3), ending at open point (2, comma 3), right piece, increasing curve, opening down, starting at closed point (2, comma 1), with open point on the curve at (3, comma 2), & a discrete point not on the curve, at (3, comma 3).There are two accepted forms of notation for domain and range. Examine the graph at right. The domain and range of the function shown can be noted in either interval notation or in set notation.

Interval Notation:
                               

Set Notation:  or  
                       

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