About Functions Vertical Line Test:
A relation is any set of ordered pairs (x,y). A function is a special type of relation where there is a one to one correspondence. Each first component or x-value corresponds to or is linked to exactly one second component or y-value. Many times, we hear this read as "for each x, there can be only one y". When we have a function, no vertical line will intersect the graph in more than one location.
Test Objectives
- Demonstrate an understanding of the concept of a function
- Demonstrate an understanding of domain and range
- Demonstrate the ability to use the vertical line test to determine if a relation represents a function
#1:
Instructions: determine if each relation is a function.
$$a)\hspace{.2em}y=-\frac{1}{2}x + 2$$
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#2:
Instructions: determine if each relation is a function.
$$a)\hspace{.2em}|y|=x + 2$$
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#3:
Instructions: determine if each relation is a function.
$$a)\hspace{.2em}y=(x - 6)^2 + 1$$
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#4:
Instructions: determine if each relation is a function.
$$a)\hspace{.2em}y=x^3 - x$$
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#5:
Instructions: determine if each relation is a function.
$$a)\hspace{.2em}(x + 2)^2 + y^2=36$$
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Written Solutions:
#1:
Solutions:
a) Function
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#2:
Solutions:
a) Not a Function
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#3:
Solutions:
a) Function
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#4:
Solutions:
a) Function
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#5:
Solutions:
a) Not a Function
