GrAssign - Analyze Functions

GrAssign - Analyze Functions

Analyzing the Behavior of a Function

I.   Using Desmos, graph the following functions.

  (Follow the approach presented in the previous lesson.)

 *1.  f(x) = 2x3 - 3x + 1                 (-∞, ∞)       Worksheet:  Analy_Wk_ P1

 *2.  f(x) = -2x3 + 3x2 - 2              (-∞, ∞)       Worksheet:  Analy_Wk_ P2

 *3.  f(x) = 3x5 + 3x3 -2x2 - x        (-∞, ∞)      Worksheet:   Analy_Wk_ P3

Plot and Label the coordinates for the following on the graphs

x-int(s),  y-int(s),  Max point(s),  Min point(s),  Point(s) of inflection

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II.  Identify and record your answers on the provided answer sheets.

All responses should be recorded as coordinates.

1. x-intercept(s)

2.  y-intercept(s)

3. max coordinate(s)

4. min coordinate(s)

5. interval(s) where the function is increasing

6. interval(s) where the function is decreasing

7. interval(s) where the function is concaving up

8. interval(s) where the function is concaving down

9. point of inflection coordinate(s) (approximate)

10. share your graph's location following the information provided (top)