The table below shows selected points from a function.
1 answer:
The rate change of interval for the given table is Constant , so the function a linear function.
<u>Step-by-step explanation:</u>
A linear function is defined as a function which yields a line in a graph and the rate of change(constant) is called as slope.
Since the rate is constant, then function will result in a straight line.
From the given table the slope m=1 and it changes constantly.
The linear equation formula is y=mx+c.
where m is the slope and c is the y-intercept.
The linear equation for the given table is y=x+1.
∴ The rate change of interval for the given table is Constant , so the function a linear function.
If the graph for a function has any shapes other than a straight line then it doesn't have a constant slope and it will be a non-linear function.
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A picture can help.
The median to the long side divides the isosceles triangle into two right triangles with hypotenuse 10 and short leg 6. Thus the long leg (median of interest) is found by the Pythagorean theorem to be
... √(10² -6²) = √64 = 8
Then the midpoint of the short side is found to be 6 + (6/2) = 9 units to the side and 8/2 = 4 units above the opposite vertex. Hence the square of the length of that median is 9² + 4² = 97.
The sum of squares of interest is
... 8² + 2×97 = 258
