Question

Exercises 41-44: Sketch a graph of $y=f(x)$. $f(x)=-1$

   Exercises 41-44: Sketch a graph of $y=f(x)$.
$f(x)=-1$


Beginning and Intermediate Algebra with Applications & Visualization
Beginning and Intermediate Algebra with Applications & Visualization
Gary Rockswold,… 3rd Edition
Chapter 8, Problem 44 ↓

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The function provided is \( f(x) = -1 \). This is a constant function, meaning that for every value of \( x \), the value of \( f(x) \) remains the same, which is \(-1\).  Show more…

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Exercises 41-44: Sketch a graph of $y=f(x)$. $f(x)=-1$
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Key Concepts

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Constant Function
A constant function is one in which the output value does not change regardless of the input value. This means that for every value of x, the function f(x) remains the same, leading to a graph with no variation in height.
Horizontal Line
A horizontal line results from graphing a constant function. Since the value of the function is constant for all x, the graph is a straight line parallel to the x-axis, illustrating that the output does not depend on the input.

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In Exercises $41-44,$ sketch a possible graph for a function $f$ that has the stated properties. $f(-2)$ exists, $\lim _{x \rightarrow-2^{+}} f(x)=f(-2),$ but $\lim _{x \rightarrow-2} f(x)$ does not exist.

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