For the functions g(x) = −2 x + 1 and f(x) = x − 1, find the amplitude of g and the period of f.

Here's a step-by-step solution to the problem. Part (1): Write down i) The amplitude of g The function is g(x) = −2 sin x + 1. For a function of the form y = A sin(Bx+C)+D, the amplitude is |A|. Step 1: Identify A from g(x). A = −2. Step 2: Calculate the amplitude. Amplitude of g = |−2| = 2. The amplitude of g is 2. ii) The period of f The function is f(x) = sin x − 1. For a function

For the functions g(x) = −2 x + 1 and f(x) = x − 1, find the amplitude of g and the period of f.

Here's a step-by-step solution to the problem. Part (1): Write down i) The amplitude of g The function is g(x) = −2 sin x + 1. For a function of the form y = A sin(Bx+C)+D, the amplitude is |A|. Step 1: Identify A from g(x). A = −2. Step 2: Calculate the amplitude. Amplitude of g = |−2| = 2. The amplitude of g is 2. ii) The period of f The function is f(x) = sin x − 1. For a function

Solved: For the functions g(x) = −2 x + 1 and f(x) = x − 1…

Step-by-step solution

2 steps

Here's a step-by-step solution to the problem.

Part 1

Write down

Part i· 2 steps2

The amplitude of g

The function is $g(x) = -2 \sin x + 1$ .
For a function of the form $y = A \sin(Bx+C)+D$ , the amplitude is $|A|$ .

Identify $A$ from $g(x)$ .
$A = -2$ .
Calculate the amplitude.
Amplitude of $g = |-2| = 2$ .
The amplitude of $g$ is $\boxed{2}$ .

Part ii

The period of f

The function is $f(x) = \sin x - 1$ .
For a function

For the functions g(x) = -2 x + 1 and f(x) = x − 1, find the amplitude of g and the period of f.

Answer

Step-by-step solution

Part 1

Part i· 2 steps2

Identify $A$ from $g(x)$ .

Calculate the amplitude.

Part ii

Try one yourself

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For the functions g(x) = -2 x + 1 and f(x) = x − 1, find the amplitude of g and the period of f.

Answer

Step-by-step solution

Part 1

Part i· 2 steps2

Identify AAA from g(x)g(x)g(x).

Calculate the amplitude.

Part ii

Try one yourself

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Identify $A$ from $g(x)$ .