Hi Surah,
I recommend typing that function into Desmos Graphing Calculator, using sliders for m and d. That way you can make adjustments to those two variables (with the restriction that they be positive) to see how the graph changes. Pay attention to what happens to the x and y intercepts. Of course, the simplest example is choosing a value of 1 for each.
Enjoy
Cary M.
tutor
That's true. But you can use desmos to study for it. For this function which is an odd root function (1/5 power is a 5th root) the variable m will determine how "tall" the graph looks. An m greater than 0 will bring the right side of the graph above the x axis, less than 0 will bring it below the x axis. The further m is from 0, the further the graph will be from the x axis.
Changes in the value of d move this graph's "center" to the left or right. Positive ds move it left, negative ds move it right.
You can also explore what even root functions (to the 1/2 power, 1/4 power, etc) look like.
A good approach would be to study what function families behave like and what transformations occur when changes are applied to the parent functions.
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11/28/22
Surah K.
How do I graph it without desmos. On SAT, I won't have that option11/28/22