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# Common Core Standard HSF-IF.A.1 Questions

Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. If f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. The graph of f is the graph of the equation y = f(x).

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Which of these equations is not a function?
1. $y=x^2$
2. $x=3$
3. $y=4x+3$
4. $f(y)=4y^2 -2$
Find the Domain and Range.

{ (3, 1), (7, 5), (4, 8), (0, 6), (8, 0) }
1. Domain : { 1, 2, 3, 4, 9 } Range : { 2, 3, 7 }
2. Domain : { 0, 3, 4, 7, 8 } Range : { 0, 1, 5, 6, 8 }
3. Domain : { 2, 4, 7, 8 } Range : { 1, 4, 5, 6, 9 }
4. Domain : { 1, 2, 3, 6, 9 } Range : { 2, 4, 7, 8, 9 }
Find the Domain and Range.

{ (0, 2), (9, 3), (3, 7), (6, 3), (7, 3) }
1. Domain : { 0, 1, 3, 5, 9 } Range : { 1, 2, 3, 4, 8 }
2. Domain : { 0, 3, 6, 7, 9 } Range : { 2, 3, 7 }
3. Domain : { 2, 4, 7, 8 } Range : { 1, 4, 5, 6, 9 }
4. Domain : { 0, 3, 4, 7, 8 } Range : { 0, 1, 5, 6, 8 }
Jack counts his steps and times himself as he walks across the football field.

This is
1. not a function
2. a continuous function
3. a discrete function
4. a partial function
$f(x)=2x+5$ is equivalent to
1. $y=2x+5$
2. $x=2x+5$
3. This is not a function
4. $8=2x+5$
An equation which represents a bouncing ball would
1. not be a function
2. be a continuous function
3. be a discrete function
4. be a partial function
$y=3x-2$ expressed as a function is
1. $x=3x-2$
2. $y=3x-2$
3. $f(x)=3x-2$
4. This is not a function
$y=-x$ expressed as a function is
1. $f(x)=-x$
2. $f(y)=-x$
4. $f(-x)=x$