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Q62.

Expert-verified

Algebra 2

Found in: Page 67

Book edition Middle English Edition

Author(s) Carter

Pages 804 pages

ISBN 9780079039903

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Short Answer

62. Which function is linear
$(A) f (x) = x^{2}$
$(B) g (x) = 2.7$
$(C) g (x) = \sqrt{x - 1}$
$(D) f (x) = \sqrt{9 - x^{2}}$

The function $g (x) = 2.7$ is a linear function

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1- Given information

Some functions $f (x) = x^{2}, g (x) = \sqrt{x - 1}, f (x) = \sqrt{9 - x^{2}} and g (x) = 2.7$

Step 2- To find the linear function

From the given information,

The function $f (x) = x^{2}$ is not a linear function because its degree is 2.

$g (x) = \sqrt{x - 1}, f (x) = \sqrt{9 - x^{2}}$ both are not a linear function because can not write in the standard form of the linear equation.

The function $g (x) = 2.7$ is a linear function because we can write this in standard form of a linear function

Step 3- Conclusion

Therefore, the function $g (x) = 2.7$ is a linear function.

Hence, the correct option is (B).

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