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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Given:
The linear function for average test score in your math class is
where x is the number of the test taken.
The linear function g(x) in the given table represents the average test score in your science class, where x is the number of the test taken.
To find:
Part A: The test average for your math class after completing test 2.
Part B: The test average for your science class after completing test 2.
Part C: Which class had a higher average after completing test 4?
Solution:
Part A:
We have,
Put x=2 in the above function, to find the test average for your math class after completing test 2.
Therefore, the test average for your math class after completing test 2 is 80.8.
Part B:
From the given table it is clear that g(x) =79 at x=2.
Therefore, the test average for your science class after completing test 2 is 79.
Part C:
Put x=4 in f(x), to find the test average for your math class after completing test 4.
From the table it is clear that the value of g(x) is increased by 1 as x is increased by 1. So, the value of function g(x) at x=4 must be 1 more than 80.
It is clear that,
Therefore, math class had a higher average after completing test 4.