Question

9. The function \( f(x) \) is defined as \( f(x)=\left\{\begin{array}{l}x+3 \text { if } x<-1 \\ 2 \text { if }-1 \leq x \leq 1 \\ x \text { if } x>1\end{array}\right. \) (a) Sketch the graph of \( \mathrm{f}(\mathrm{x}) \). (b) Find the domain and range. (c) Find \( \mathrm{f}(6), \mathrm{f}(10) \). (d) State whether f is a 1-1 function.

          9. The function \( f(x) \) is defined as \( f(x)=\left\{\begin{array}{l}x+3 \text { if } x<-1 \\ 2 \text { if }-1 \leq x \leq 1 \\ x \text { if } x>1\end{array}\right. \)
(a) Sketch the graph of \( \mathrm{f}(\mathrm{x}) \).
(b) Find the domain and range.
(c) Find \( \mathrm{f}(6), \mathrm{f}(10) \).
(d) State whether f is a 1-1 function.

9. The function f(x) is defined as f(x)={
x+3 if x<-1
2 if -1 ≤ x ≤ 1
x if x>1
.
(a) Sketch the graph of f(x).
(b) Find the domain and range.
(c) Find f(6), f(10).
(d) State whether f is a 1-1 function.

Added by Margaret P.

Applied Calculus for the Managerial, Life, and Social Sciences

Soo T. Tan 10th Edition

Chapter 2

Instant Answer

Solved by Expert Ahmad Reda

05/15/2021

Step 1

- For \( x < -1 \), \( f(x) = x + 3 \). This is a linear function with a slope of 1 and a y-intercept of 3. The graph is a line starting from the point \((-1, 2)\) and extending to the left. - For \(-1 \leq x \leq 1 \), \( f(x) = 2 \). This is a horizontal line Show more…

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9. The function \( f(x) \) is defined as \( f(x)=\left\{\begin{array}{l}x+3 \text { if } x<-1 \\ 2 \text { if }-1 \leq x \leq 1 \\ x \text { if } x>1\end{array}\right. \) (a) Sketch the graph of \( \mathrm{f}(\mathrm{x}) \). (b) Find the domain and range. (c) Find \( \mathrm{f}(6), \mathrm{f}(10) \). (d) State whether f is a 1-1 function.