Please help ( the function table)
1 answer:
You might be interested in
A function is increasing if it "points upwards".
Think that you have two inputs (think of them as being very close to each other). A function
is increasing if
So, smaller input, smaller output.
So:
- In the first segment on the left, the function is decreasing: if you move with little steps rightwards, the output will get smaller and smaller (the function points to the right bottom)
- In the second segment, the line is constant (it's horizontal). This means that even if you consider a larger input, the output reimains the same
- In the third segment, the function is increasing: if you consider a larger input, the output will be larger as well: the function points to the top right.
- In the fourth segment, the function is decreasing again (look at the first bullet point)
So, the function is increasing in the third segment, which is delimited by
Given:
The graph of a line.
To find:
The equation of line and values of m and b. Check whether it is proportional or linear.
Solution:
From the given graph it is clear that, the line passes through (0,4) and (2,0). So, the equation of line is
Adding 4 on both sides, we get
On comparing this equation with slope intercept form, i.e., , we get
All lines are linear. If a line passes through the origin then it is proportional.
From the given graph it is clear that the line is not passing through the origin, i.e., (0,0). So, it is linear not proportional.
Therefore, the value of m is -2 and the value of b is 4. The equation of line is . The line linear not proportional because it does not passing through the origin.