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What happens to the value of the expression
c+2 as
c increases?
Choose 1 answer:
A It increases.
(B) It decreases.
(C) It stays the same.

What happens to the value of the expression $c+2$ as $c$ increases? $\newline$ Choose $1$ answer: $\newline$ (A) It increases. $\newline$ (B) It decreases. $\newline$ (C) It stays the same.

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Transformations of absolute value functions: translations and reflections

Full solution

Q. What happens to the value of the expression

c+2

as

c

increases?

\newline

Choose

1

answer:

\newline

(A) It increases.

\newline

(B) It decreases.

\newline

(C) It stays the same.

Analysis of Expression: Let's analyze the expression $c+2$ . This is a linear expression where $c$ is the variable and $2$ is a constant. As $c$ increases, we add a larger number to the constant $2$ .
Behavior with Increasing $c$ : To understand the behavior of the expression, let's consider increasing $c$ by a small amount, say $1$ . If $c$ was initially $0$ , then $c+2$ would be $0+2=2$ . If we increase $c$ to $1$ , then $c+2$ becomes $c$ $0$ . We can see that the value of the expression has increased.
Pattern of Increase: This pattern will hold for any increase in $c$ . If we increase $c$ by any positive amount, the value of $c+2$ will increase by that same amount because the $2$ is a constant and does not change.
Characteristics of Linear Function: Therefore, as $c$ increases, the value of the expression $c+2$ also increases. This is characteristic of a linear function with a positive slope.

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