Below are two different functions, f(x) and g(x). What can be determined about their y-intercepts? F(x)=-2x-1
2 answers:
<h2>Answer:</h2>
The correct statement is:
- The function f(x) has a higher y-intercept.
We know that the general form of a slope intercept form of a line is given by:
where m is the slope of the line and c is the y-intercept of a line.
The function f(x) is given by:
Hence, on comparing the function to the slope-intercept form of a line we get
The y-intercept of function f(x) is: -1
Also, the table for the function g(x) is given by:
x g(x)
2 2
4 6
6 10
The function g(x) satisfies the equation:
The y-intercept of the function g(x) is: -2
Since we know that:
-1 > -2
This means that the y-intercept of the function f(x) is higher than the y-intercept of the function g(x).
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The domain of the function is all real numbers, the range of a function is y ≤ 4
<h3>What is a function?</h3>It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a function:
f(x) = –(x + 6)(x + 2)
If we plot this function on the coordinate plane, we will see it is a graph of a quadratic function.
Here the no other details are given.
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- The domain of the function is all real numbers.
- The range of a function is y ≤ 4
- The x-axis intercept will be at (-6, 0) and (-2, 0).
Thus, the domain of the function is all real numbers, the range of a function is y ≤ 4
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