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Domain and Range of Functions 1

Domain and Range of Functions 1

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Question 1 of 4

1. Question
Find the domain and range of $y=2x-1$
- 1. Domain: All real numbers; Range: All real numbers
- 2. Domain: All positive numbers ; Range: All positive numbers
- 3. Domain: $2$ ; Range: $-1$
- 4. Domain: All whole numbers ; Range: All whole numbers
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The domain and range is the set of $x$ and $y$ values of a function

Notice that the line on the graph extends infinitely

/div>

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 $y=x^2+1$
- 1. Domain: All real numbers; Range: All real numbers
- 2. Domain: $x≥1$ ; Range: $y≥1$
- 3. Domain: $x≥1$ ; Range: All real numbers
- 4. Domain: All real numbers; Range: $y≥1$
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The domain and range is the set of $x$ and $y$ values of a function

Notice 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 $y=-sqrt(9-x^2)$
- 1. Domain: $-3≥x≥3$ ; Range: $-3≥y≥0$
- 2. Domain: $3≥x≥-3$ ; Range: $3≤y≤-3$
- 3. Domain: $-3≤x≤3$ ; Range: $-3≤y≤0$
- 4. Domain: $3≤x≤-3$ ; Range: $0≤y≤-3$
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The domain and range is the set of $x$ and $y$ values of a function

Notice 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 $y=2x+2$
- 1. Domain: $-1≥x≥1$ ; Range: $1≥y≥3$
- 2. Domain: $-1≤x≤1$ ; Range: $1≥y≥3$
- 3. Domain: $1≤x≤-1$ ; Range: $3≤y≤1$
- 4. Domain: $-1≤x≤1$ ; Range: $1≤y≤3$
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The domain and range is the set of $x$ and $y$ values of a function

Notice 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 $3$

$\text(Domain):-1≤x≤1$

$\text(Range):1≤y≤3$

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