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McGraw Hill Glencoe Algebra 1, 2012

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McGraw Hill Glencoe Algebra 1, 2012 View details

1. Square Root Functions

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Exercise 30 Page 624

The radicand of a square root is always greater than or equal to $0 .$

Graph:

Domain: ${x ∣ x \geq 1}$
Range: ${y ∣ y \geq 0}$
Comparison with the Parent Graph: Translation 1 unit left.

Practice makes perfect

Let's first graph the given square root function and find its domain and range. Then, we will compare the graph to the graph of its parent function.

Graph, Domain, and Range

Let's start by finding the domain of

y = x + 1 .

To do so, recall that the radicand of a square root is always greater than or equal to

0 .

x + 1 \geq 0 \Leftrightarrow x \geq - 1

Therefore, the domain of the given function is all real numbers greater than or equal to

- 1 .

With this in mind, we will make a table of values to graph the function.

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Subchapter links

Check Your Understanding p.624

Practice and Problem Solving p.624-625

H.O.T. Problems p.625

Standardized Test Practice p.625

Spiral Review p.625

Skills Review p.625