Question

By considering the domains of the functions in Exercises 95 through 98 , match each function with its graph, labeled a) through d). $f(x)=\sqrt{x}$ a.Graph Can`t Copy b.Graph Can`t Copy

Name: Problem 95, Chapter 7: Intermediate Algebra for College Students
Uploaded: 2020-05-20T14:37:16-08:00
Duration: 2 min 36 s
Channel: Kevin Harmer
Description: By considering the domains of the functions in Exercises 95 through 98 , match each function with its graph, labeled a) through d). f(x)=√(x) a.Graph Can`t Copy b.Graph Can`t Copy

   By considering the domains of the functions in Exercises 95 through 98 , match each function with its graph, labeled a) through d).
$f(x)=\sqrt{x}$
a.Graph Can`t Copy
b.Graph Can`t Copy

Intermediate Algebra for College Students

Allen R. Angel;… 10th Edition

Chapter 7, Problem 95

Instant Answer

Solved by Expert Kevin Harmer

05/20/2020

Step 1

First, let's consider the domain of the function $f(x) = \sqrt{x}$. The square root function is defined for all non-negative values of x. So, the domain of this function is $x \geq 0$. Show more…

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By considering the domains of the functions in Exercises 95 through 98 , match each function with its graph, labeled a) through d). $f(x)=\sqrt{x}$ a.Graph Can`t Copy b.Graph Can`t Copy

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Key Concepts

Graphical Analysis and Function Matching

Graphical analysis involves using the properties of a function, such as its domain, range, intercepts, and overall shape, to successfully match an algebraic function with its corresponding graph. This process is essential for understanding how the behavior of a function is visually represented.

Domain of a Function

The domain of a function is the complete set of input values for which the function is defined. It is crucial to determine the domain to avoid undefined operations, such as taking the square root of a negative number, which directly affects the graph of the function.

Square Root Function

The square root function, which is typically written as f(x) = ?x, is defined only for non-negative values of x. Its graph starts at the origin and increases gradually, reflecting the mathematical relationship between the input and output, and emphasizing that the domain is limited to x ? 0.

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