4.2 DAY 2WRITING DOMAIN AND RANGE AS INEQUALITIESToday’s Goal:

-To write the domain and range using an inequality.

-To understand the domain and ranges of parent graphs.

Ex 1: What is the domain and range of the graph?

Ex 2: What is the domain and range of the graph?

Ex 3: What is the domain and range of the graph?

Ex 4: What is the domain and range of the graph?

Ex 5: What is the domain and range of the graph?

Ex 7: What is the range of the function y = |6x - 15| + 13?

Linear Functions…aka lines

Domain: All Real #sRange: All Real #s

Two exceptions:

1.) Horizontal lines 2.) Vertical lines D: All Reals, Not FunctionsR: *only one number*

Linear Segments Domain: {leftmost point < x < rightmost point}

Range: {bottom-most point < y < top-most point}

Parabolas: …where n is even

Domain: All Reals

Range: -For downwards parabola: y < maximum-For upwards parabola: y > minimum

Cubics: …where n is odd

Domain: All Reals

Range: All Reals

Exponentials:

Domain: All Reals

Range: -For downwards Graph, y < k-For upwards Graph, y > k -The line at k is known as an asymptote

Fractions

Domain: All Reals except for where denominator is zero

Range: All Reals except for y = 0