Project #61749 - PIECEWISE FUNCTIONS

This is a lab activity consisting of three problems. The questions are below. I need explanations as to how to get the answers.  I will send you a full pdf file that you will use to answer. Below is a preview of the questions. 

1.Sketch the graph of the piecewise function g HxL =

x2 if x b -1

-†x§ if - 1 < x < 4

x if x r 4

The graphs of all three component functions are in dashed strokes on the same set of axes below.

Draw over the dashed graphs appropriately, and add closed/open circles where needed.

 

 

2.Now we will evaluate the piecewise function f HxL =

-Hx - 1L2 + 1 if x b 1

1x

if x > 1

for various values of x.

For each value of x in Table 1:

† Type the value in the input box for the graph below and press the enter key (the left-hand enter key,

not the one on the keypad). A red point will appear on the graph at that x-value.

† Using the graph, estimate the value of f HxL. Write your answer in Table 1.

† Select the component function whose graph appears at that x-value. (either -Hx - 1L2 + 1 or 1x

)

† Plug the x-value into the appropriate component function and evaluate. Compare your answer to your

estimated function value.

 

 

3. For g HxL =

x2 if x b -1

-†x§ if - 1 < x < 4

x if x r 4

Evaluate g H-2L, g H-0.5L, g H4L, and g H5L.

Subject Mathematics
Due By (Pacific Time) 03/10/2015 10:00 pm
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