We want to match each vocabulary term with its definition. Let's take a look at each definition, one at a time.
m=rise/run
The rise and the run of a line can be found as the change in y-values and the change in x-values, respectively.
This is the same as finding the of the function. Since it is a straight line, it is a and has a constant rate of change.
Definition 3
Consider the following definition.
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A relation in which each input, or x-value, has exactly one output, or y-value
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We are talking about a special type of where each has exactly one assigned. There are no further specifications to the relation and it satisfies the definition of function.
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Function
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A function is a relation in which each input is assigned to exactly one output.
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Definition 4
Let's read the next definition.
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The value of the output when the input is 0, or the y-intercept of the graph of a line
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Since we are talking about a line, we will take a look at a that describes a linear function.
y=mx+b
Let's also take a look at the graph!
The y- is the value at which the input is 0. This is how the graph starts before there is any change to the input, so this is also known as its initial value.
Definition 5
Consider the last given definition.
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A period of time between two points of time or events
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Time is usually used as the in most cases, so it is placed on the x-axis. A period of time can be seen in a graph as a horizontal distance. We use this distance to describe the behavior of the y-values.
This space between two x-values is known as an interval. This is also the only remaining choice of the vocabulary terms!
Summary
Finally, let's summarize our findings by making a table with the definitions and their matching vocabulary terms.
| Definition
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Vocabulary Term
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| A function whose graph is not a straight line
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nonlinear function
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| The slope of a line
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constant rate of change
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| A relation in which each input, or x-value, has exactly one output, or y-value
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function
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| The value of the output when the input is 0, or the y-intercept of the graph of a line
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initial value
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| A period of time between two points of time or events
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interval
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