Evaluating a Piecewise Function with Linear Expressions

Math Problem Statement

evaluate the piecewise function at the given values. f(x)= { 5x+4 if x< 0 4x+5 if x is greater or equal to 0

We are given the following piecewise function:

\begin{cases} 5x + 4 & \text{if } x < 0 \\ 4x + 5 & \text{if } x \geq 0 \end{cases}$$ Now, let's evaluate the function at specific values of $$x$$. Please provide the values of $$x$$ you'd like to evaluate $$f(x)$$ at, or I can proceed with common examples like $$x = -2$$, $$x = 0$$, and $$x = 3$$. Would you like details or have any questions? Here are 5 related questions: 1. How do you determine which part of the piecewise function to use? 2. What happens if the piecewise function changes the sign at different points? 3. Can piecewise functions have more than two cases? 4. What are some real-world applications of piecewise functions? 5. How can a graph of a piecewise function look? **Tip:** Always double-check which condition each value of $$x$$ satisfies when evaluating piecewise functions.

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Piecewise Functions
Linear Equations

f(x) = 5x + 4 for x < 0
f(x) = 4x + 5 for x ≥ 0

Basic Evaluation of Piecewise Functions

Grades 9-11

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Evaluating Piecewise Functions: Example with f(x) for x = -3, 0, and 3