Chapter 12: Q 23. (page 916)

In Exercise, evaluate the given function at the specified points in the domain, and then find the domain and range of the function.
$f (x, y) = x^{2} - y^{2}, (1, 5), (- 3, - 2)$

Short Answer

Expert verified

$\begin{array}{rcl} f (1, 5) & = & - 24 \\ f (0, π) & = & 5 \end{array}$

Domain is $R^{2}$ and range is R.

Step by step solution

Step 1. Given information

Function is $f (x, y) = x^{2} - y^{2}$

Step 2. Explanation

$\begin{array}{rcl} f (1, 5) & = & (1)^{2} - (5)^{2} \\ = & (1) - (25) \\ = & - 24 \\ f (0, π) & = & (- 3)^{2} - (- 2)^{2} \\ = & (9) - (4) \\ = & 5 \end{array}$

Domain is $R^{2}$ and range is R.

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In Exercise, evaluate the given function at the specified points in the domain, and then find the domain and range of the function.
$f (x, y) = x^{2} - y^{2}, (1, 5), (- 3, - 2)$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Explanation

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In Exercise, evaluate the given function at the specified points in the domain, and then find the domain and range of the function.fx,y=x2-y2,1,5,-3,-2

Short Answer

Step by step solution

Step 1. Given information

Step 2. Explanation

One App. One Place for Learning.

Most popular questions from this chapter

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In Exercise, evaluate the given function at the specified points in the domain, and then find the domain and range of the function.
$f (x, y) = x^{2} - y^{2}, (1, 5), (- 3, - 2)$