Chapter 6: Q. 85 (page 411)

graph each function.
$f (x) = \{\begin{cases} \sin x & 0 \leq x < \frac{5 π}{4} \\ \cos x & \frac{5 π}{4} \leq x \leq 2 π \end{cases}$

Short Answer

Expert verified

The graph of the function $f (x) = \{\begin{cases} \sin x & 0 \leq x < \frac{5 π}{4} \\ \cos x & \frac{5 π}{4} \leq x \leq 2 π \end{cases}$ is

Step by step solution

Step 1. Given data

The given function is

$f (x) = \{\begin{cases} \sin x & 0 \leq x < \frac{5 π}{4} \\ \cos x & \frac{5 π}{4} \leq x \leq 2 π \end{cases}$

Step 2. Points of function

Determine coordinate of the points of the function $f (x) = \sin x$ in the interval $0 \leq x < \frac{5 π}{4}$

Step 3. Points of the function

Determine the coordinate of points of the function $f (x) = \cos$ in the interval $\frac{5 π}{4} \leq x \leq 2 π$

Step 4. Graph of the function

Locate the points and connect them to plot the graph of $f (x) = \{\begin{cases} \sin x & 0 \leq x < \frac{5 π}{4} \\ \cos x & \frac{5 π}{4} \leq x \leq 2 π \end{cases}$

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graph each function.
$f (x) = \{\begin{cases} \sin x & 0 \leq x < \frac{5 π}{4} \\ \cos x & \frac{5 π}{4} \leq x \leq 2 π \end{cases}$

Short Answer

Step by step solution

Step 1. Given data

Step 2. Points of function

Step 3. Points of the function

Step 4. Graph of the function

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graph each function.f(x)=sinx0≤x<5π4cosx5π4≤x≤2π

Short Answer

Step by step solution

Step 1. Given data

Step 2. Points of function

Step 3. Points of the function

Step 4. Graph of the function

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Discrete Mathematics

Geometry

Pure Maths

Calculus

Statistics

Study anywhere. Anytime. Across all devices.

graph each function.
$f (x) = \{\begin{cases} \sin x & 0 \leq x < \frac{5 π}{4} \\ \cos x & \frac{5 π}{4} \leq x \leq 2 π \end{cases}$