(10 pts) 3. The graph of $y=f(x)$ is shown below.
(a) Determine the domain and the range of the function $f$, in interval notation.
Domain: $\qquad$
Range: $\qquad$

Question

Accepted Answer

∻Solution by Steps∻ ‖ step 1 ⋮ To determine the domain of the function $f(x)$, we need to identify the set of all $x$-values for which the function is defined. From the graph, we observe that the function starts at $x = -4$ and ends at $x = 6$. ‖ ‖ step 2 ⋮ Therefore, the domain of $f(x)$ is the interval $[-4, 6]$. ‖ ‖ step 3 ⋮ To determine the range of the function $f(x)$, we need to identify the set of all $y$-values that the function takes. From the graph, we observe that the minimum $y$-value is $2$ and the maximum $y$-value is $4$. ‖ ‖ step 4 ⋮ Therefore, the range of $f(x)$ is the interval $[2, 4]$. ‖ ∻Answer∻ ⚹ Domain: $[-4, 6]$ ⚹ ⚹ Range: $[2, 4]$ ⚹ ∻Key Concept∻ ⚹Domain and Range of a Piecewise Function⚹ ∻Explanation∻ ⚹The domain of a function is the set of all possible input values (x-values) for which the function is defined, while the range is the set of all possible output values (y-values) that the function can take.⚹◊What is the formula to determine the domain and range of a piecewise function $f(x)$ shown in the graph provided by the student?⍭ Generate me a similar question◊

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