3. Linear Functions and Slope-Intercept Form
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Is It a Function? No.
Domain: {-5,0,2,9}
Range: {-3,-1,5,15}
For a relation to be a function, each x-value can only be paired with one y-value, but one y-value can be paired with multiple x-values. In a mapping, the x-values in the domain can only point to one y-value in the range.
In the given mapping, we can see that at least one of the x-values corresponds to multiple y-values. Since not all of the values in the domain only point to one value in the range, the relation is not a function. Now, we can list the elements in the domain and range. Domain:& -5, 0, 2, 9 Range:& -3, -1, 5, 15