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Domain and Range of Functions>
Domain and Range of Functions 1Domain and Range of Functions 1
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Question 1 of 4
1. Question
Find the domain and range of `y=2x-1`
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The domain and range is the set of `x` and `y` values of a functionNotice that the line on the graph extends infinitely
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This means that the line will cover all real values of `x` and `y``\text(Domain: All real numbers)``\text(Range: All real numbers)` -
Question 2 of 4
2. Question
Find the domain and range of `y=x^2+1`
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The domain and range is the set of `x` and `y` values of a functionNotice that the curve extends infinitely on both sides of the x-axis and has a minimum point at `y=1`
This means that the curve will cover all real values of `x` and all real values of `y` greater than or equal to `1``\text(Domain: All real numbers)``\text(Range):y≥1` -
Question 3 of 4
3. Question
Find the domain and range of `y=-sqrt(9-x^2)`
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The domain and range is the set of `x` and `y` values of a functionNotice that the curve starts at the x-axis at `x=-3`, curves down to `y=-3` and goes back to the x-axis at `x=3`
This means that the curve will cover all real values of `x` greater than or equal to `-3` and less than or equal to `3` and all real values of `y` greater than or equal to `-3` and less than or equal to `0``\text(Domain):-3≤x≤3``\text(Range):-3≤y≤0` -
Question 4 of 4
4. Question
Find the domain and range of `y=2x+2`
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The domain and range is the set of `x` and `y` values of a functionNotice that the line starts at the point `(-1,1)` and ends at point `(1,3)“
This means that the line will cover all real values of `x` greater than or equal to `-1` and less than or equal to `1` and all real values of `y` greater than or equal to `1` and less than or equal to `3``\text(Domain):-1≤x≤1``\text(Range):1≤y≤3`