Solve the Problem $f ( x ) = \sqrt { x + 1 }$

question 219

Multiple Choice

Solve the problem.
-Find an equation of the tangent to the curve $f ( x ) = \sqrt { x + 1 }$ that has slope $\frac { 1 } { 4 }$ .

• A) \(y = - \frac { 1 } { 4 } x + \frac { 5 } { 4 }\)
• B) \(y = \frac { 1 } { 4 } x + \frac { 5 } { 4 }\)
• C) \(y = \frac { 1 } { 4 } x - \frac { 5 } { 4 }\)
• D) \(y = \frac { 1 } { 4 } x\)

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Definitions:

Mean

The mean of a number set, found by summing all the numbers together and then dividing by the total number of values in the set.

Equal

Denotes being the same in quantity, size, degree, or value.

Data

Quantitative or qualitative values that represent information or attributes, often collected to analyze patterns or trends.

Equal

Signifying that two or more entities share the same value or quantity, implying no difference in measurement or status between them.