(10 points)
For this problem, you’re going to use approximation by the difference quotient to estimate the slope of a line (and ultimately the equation of that line) that is tangent to your very own personal quadratic function. To find your function and precise problem statement, choose your name from the list below.
My personal function is f(x)=3x(2-x).
According to Desmos, the slope of the tangent line is about 3.
The graph of the function looks like this:
My personal function is
According to Desmos, the slope of my function is about 7.5, and my graph of which looks like this:
My personal function is
According to Desmos, the slope of the tangent line at x=0.75 is about 8.4
Here is the graph
My Personal function is
f(x) = 2x(1-x)
According to Desmos, the slope of the tangent line is about 1. The graph of the function looks like this:
My personal function is
According to Desmos, the slope of the tangent line is about 15.
Tha graph of the function looks like this:
My personal formula was:
According to Desmos, the slope of the tangent line is 7.5.
Here is the graph:
My personal formula is
f(x)=2x(3-x)
The slope of my tangent line is m=2.8
My personal function is:
The slope of the tangent line at x=1 appears to be 12. The graph is:
My personal function is:
According to Desmos, the slope of the tangent line is about 3. The graph of the function looks like this:
My function is
According to Desmos, the slope of the tangent line is most likely 3.6. The graph of the function is as such…
My personal function is:
According to Desmos, the slope of the tangent line is about 5.4.
My personal function is f(x)=2x(4-x)
(10 points)
For this problem, you’re going to use approximation by the difference quotient to estimate the slope of a line (and ultimately the equation of that line) that is tangent to your very own personal quadratic function. To find your function and precise problem statement, choose your name from the list below.
