Question

Use the graph of the function to find the indicated values.

y 6 4 2 -x 3 -2- - 2 1 3 2 -4 -6

This figure has a wavy curved line graphed on the x y-coordinate plane. The x-axis runs from negative 2 times pi to 2 times pi. The y-axis runs from negative 6 to 6. The curved line segment goes through the points (negative 2 times pi, 0), (negative 3 divided by 2 times pi, 2), (negative pi, 0), (negative 1 divided by 2 times pi, negative 2), (0, 0), (1 divided by 2 times pi, 2), (pi, 0), (3 divided by 2 times pi, negative 2), and (2 times pi, 0). The points (negative 3 divided by 2 times pi, 2) and (1 divided by 2 times pi, 2) are the highest points on the graph. The points (negative 1 divided by 2 times pi, negative 2) and (3 divided by 2 times pi, negative 2) are the lowest points on the graph. The line extends infinitely to the left and right.

a. Find: f(12π).

b. Find the values for x when f(x)=0.

c. Find the range. Write it in interval notation.

Provide your answer below:

$$f(12​π)=, f(x)=0 when x=, the range is [,]

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Answer 1

This graph looks like in shape as

f(X=Sin X

but its y-value goes from -2 to 2 i.e. its amplitude is magnified by 2

so this graph will be of

F(X2Sin X

f(12T2Sin 12T 12 0 0

b)

x will be 0 at

т, 2т, Зт, 4л, ...

EnT where n E Integer

c)

Range is from -2 to 2 including these

2,2