Chapter 3: Q 371. (page 344)

a) Graph each function. b) State its domain and range. Write the domain and range in interval notation.
$f (x) = \sqrt{x - 1}$

Short Answer

Expert verified

Domain of the function is $[1, \infty)$ and range of the function are $[1, \infty) .$

Step by step solution

Step 1. Given Information

The given function is $f (x) = \sqrt{x - 1}$

Step 2. Formation of ordered pairs

Its not a linear function. The table can be created with different values of x. The ordered pairs can be formed. The graph creation can be done by connecting and plot it.

$x$	$y = f (x)$	$(x, y)$
$1$	$y = \sqrt{1 - 1} \to y = 0$	$(1, 0)$
$5$	$y = \sqrt{5 - 1} \to y = 2$	$(5, 2)$
$10$	$y = \sqrt{10 - 1} \to y = 3$	$(10, 3)$
$17$	$y = \sqrt{17 - 1} \to y = 4$	$(17, 4)$

Step 3. Graph of the function

The graph can be drawn as,

Step 4. Domain and range

Given function is a square root function, domain of square root function is value set at argument is non-zero. Domain of the function is $[1, \infty)$ . Given function is square root function whose graph has y-positive values, range is all real numbers which is equal to or greater than zero. Range of the function is $[1, \infty) .$

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a) Graph each function. b) State its domain and range. Write the domain and range in interval notation.
$f (x) = \sqrt{x - 1}$

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Formation of ordered pairs

Step 3. Graph of the function

Step 4. Domain and range

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a) Graph each function. b) State its domain and range. Write the domain and range in interval notation.f(x)=x-1

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Formation of ordered pairs

Step 3. Graph of the function

Step 4. Domain and range

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Theoretical and Mathematical Physics

Discrete Mathematics

Decision Maths

Applied Mathematics

Mechanics Maths

Study anywhere. Anytime. Across all devices.

a) Graph each function. b) State its domain and range. Write the domain and range in interval notation.
$f (x) = \sqrt{x - 1}$