Given:
A function g has the factors (x - 7) and (x + 6).
To find:
The zeros of the function g.
Solution:
We know that if (x-a) is a factor of a function then x=a is a zero of that function because
It is given that the function g has the factors (x - 7) and (x + 6).
Similarly,
Therefore, -6 and 7 are two zeros of the function g.
Hence the correct option is B.
Answers:
Domain is
Range is
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Explanation:
We can replace x with any real number we want. We don't have any restrictions to worry about since there are no division by zero issues for instance. Also, there isn't any issues of things like taking the square root of a negative number.
Therefore, the domain is the set of all real numbers which translates to the interval notation of
This interval notation can be thought of as
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The range on the other hand isn't the set of all real numbers. It might help to graph this parabola (see below). You should see that the highest point occurs at the vertex (5, 4). This then tells us that the largest y can get is y = 4.
In other words, y = 4 or y can be smaller than this.
In symbols, we would say the range is and that translates to the interval notation of
The curved parenthesis always goes with either infinity. The square bracket says "include the endpoint 4 as part of the interval".
