What is the range of f(x)=3sin(pix) ?

The range of f(x)=3sin(pix) is -3<= f(x)<= 3

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range of f(x)=3sin(pix)

range

f (x) = 3 sin (π x)

- 3 \leq f (x) \leq 3

Interval Notation

[- 3, 3]

Solution steps

The range of the basic

sin

function is

- 1 \leq sin (π x) \leq 1

- 1 \leq sin (π x) \leq 1

Multiply the edges of the range by:

3

- 3 \leq 3 sin (π x) \leq 3

Therefore the range is

- 3 \leq f (x) \leq 3

y = 2 t + tan (t)

f (x) = \frac{x + 1}{5 x + 4}

y = \frac{x - 1}{x ^{2} - 9}

y = \frac{5}{x}

\frac{e ^{x}}{x ^{2}}

What is the range of f(x)=3sin(pix) ?
The range of f(x)=3sin(pix) is -3<= f(x)<= 3