Let function f(x) be defined by f(x) = 7 - sqrt{x^2 + 2x + 5}. (a) Sketch the graph of f(x) by...


Let function {eq}f(x) {/eq} be defined by {eq}f(x) = 7 - \sqrt{x^2 + 2x + 5} {/eq}.

(a) Sketch the graph of {eq}f(x) {/eq} by creating a table of points of the graph.

(b) Find the domain and range of {eq}f(x) {/eq}.

(c) Does {eq}f(x) {/eq} preserves any of the symmetries?

Radical Function:

A radical function is a type of function that is characterized by having a radical inside the function. In order to fully understand a radical function, we need to simplify first the function and find its important points.

Answer and Explanation: 1

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We are given the function {eq}f(x)=7\:-\sqrt{\:x^2\:+\:2x\:+\:5} {/eq}.

A. The graph of the function is:

B. Based on the graoh, the domain of...

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What is a Radical Function? - Definition, Equations & Graphs


Chapter 7 / Lesson 3

Learn about how to find the domain of a radical function. Read about graphing radical functions, the domain of radical function, and radical function equations.

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