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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

In Exercises 39-50, sketch the graph of the function with the given rule. Find the domain and range of the function.

39. f(x) = 2x2 +1

To determine

To evaluate: The graph of the given function and determine the domain and range of a given function.

Explanation

Given:

The given function is f(x)=2x2+1 .

Definition used:

(1) Domain is the set of real values of independent variables for which the function is real and defined.

(2) Range is the set of real values of dependent variables by which the function is real and defined.

Calculations:

Consider the given function f(x)=2x2+1 .

To sketch the graph, find values of f(x) for different values of x as follows.

Substitute 0 for x in f(x)=2x2+1 and compute the value of f(0) as follows.

f(0)=2(0)2+1=0+1=1

Similarly, find different values of f(x) for different values of x.

The values of the function are summarized in table 1.

x f(x)=2x2+1
01
1 3
1 3
2 9

Table 1

Use online graphing calculator to plot the above points on the coordinate axes and join them with a smooth curve as shown below

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