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Applied Calculus for the Manageria...

10th Edition
Soo T. Tan
ISBN: 9781285464640

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BuyFindarrow_forward

Applied Calculus for the Manageria...

10th Edition
Soo T. Tan
ISBN: 9781285464640
Textbook Problem

Let f be the function defined by the rule f(x) = x2x − 6.

  1. a. Find the domain of f.
  2. b. Compute f(x) for x = −3, −2, −1, 0, 1 2 , 1,2, 3.
  3. c. Use the results obtained in parts (a) and (b) to sketch the graph of f.

(a)

To determine

The domain of the given function f.

Explanation

The given function is,

f(x)=x2x6

Observe that the given function is a quadratic function, hence it is defined for all real numbers.

Thus, the domain of f is set of all real numbers and its interval notation is

(b)

To determine

The value of f(x) for x=3,2,1,0,12,1,2,3 .

(c)

To determine

To sketch: The graph of function f.

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