Evaluate the function at the indicated values. f(x)={ 3 x if x<0 x+1 if

step 1 In this question, we have given here a function fx which is equal to 3x when x is less than 0 an

Evaluate the function at the indicated values. f(x)={ ...

Evaluate the function at the indicated values.
$$\begin{aligned}
&f(x)=\left\{\begin{array}{ll}
3 x & \text { if } x<0 \\
x+1 & \text { if } 0 \leq x \leq 2 \\
(x-2)^{2} & \text { if } x>2
\end{array}\right.\\
&f(-5), f(0), f(1), f(2), f(5)
\end{aligned}$$

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Domain Restrictions

Domain restrictions are conditions that specify the intervals over which each part of a function applies. For piecewise functions, these conditions determine which formula should be used for any given input, making it critical to carefully consider the inequalities or ranges provided when evaluating the function.

Piecewise Functions

A piecewise function is defined by different expressions for different intervals of the domain. This type of function assigns value based on which part of the domain the input falls into, and is often used to model situations where a single formula cannot capture a function's behavior over all inputs.

Function Evaluation

Evaluating a function means determining its output for a given input by substituting the input into the appropriate expression. In the context of piecewise functions, this involves first identifying the interval that the input value falls into and then applying the corresponding rule.

Transcript

Please give Ace some feedback