If you were going to graph this function what would be the coordinates of the points that you would plot? Is this a linear or nonlinear function? Explain.
f(x)= 2x+5 inputs (5) and (8)
f(8)= 2(8)+5=16+5=21
f(5)= 2(5)+5=10+5=15
Would the points be (5,15) and (8,21)?
Check your 9-1-11,2:30pm post for solution.
Yes, you are correct. The coordinates of the points that you would plot on a graph for this function would be (5, 15) and (8, 21).
To find these coordinates, we substituted the input values of 5 and 8 into the function f(x) = 2x + 5.
For the first point, when x is 5, we get f(5) = 2(5) + 5 = 10 + 5 = 15. So the coordinates for this point are (5, 15).
For the second point, when x is 8, we get f(8) = 2(8) + 5 = 16 + 5 = 21. So the coordinates for this point are (8, 21).
As for whether this function is linear or nonlinear, it is linear. This is because the function has a constant rate of change, which means that for every increase in x by 1, the value of f(x) increases by a constant amount of 2. In other words, the graph of this function will be a straight line.