50 plus points
1.Given the function f(x)=∛x and the new function f(x)=-2 ∛x-1 , explain how the following parameters affect the second graph:
-2

-1

2. Input this table of values into Desmos to write a quadratic regression equation that best fits the data set. Hint: use y_2~ax_2^2+bx_2+c
b) Use your regression equation and estimate the y value if x is 23. Show your work.
x y
15 423
17 398
19 308
20 255
21 297
25 365
29 401

3.Given the piecewise function.

g(x)=(x if x≤[email protected] if x>2)┤

Find the g(x) values for the given x values.

4.Let f(x)=15/(1+4e^(-0.2x) )

What is the point of maximum growth rate for the logistic function f(x)? Show all work.

Round your answer to the nearest hundredth