4.2 day 2 writing domain and range as inequalities today’s goal: -to write the domain and range...
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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