What is the range of f(x)=-1/4 sin(4x) ?

The range of f(x)=-1/4 sin(4x) is -1/4 <= f(x)<= 1/4

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range of f(x)=-1/4 sin(4x)

range

f (x) = - \frac{1}{4} sin (4 x)

- \frac{1}{4} \leq f (x) \leq \frac{1}{4}

Interval Notation

[- \frac{1}{4}, \frac{1}{4}]

Solution steps

The range of the basic

sin

function is

- 1 \leq sin (4 x) \leq 1

- 1 \leq sin (4 x) \leq 1

Multiply the edges of the range by:

- \frac{1}{4}

- \frac{1}{4} \leq - \frac{1}{4} sin (4 x) \leq \frac{1}{4}

Therefore the range is

- \frac{1}{4} \leq f (x) \leq \frac{1}{4}

f (x) = \frac{1}{3 x ^{2} + 3 x - 18}

f (x) = 8^{x}

2 - 3 x

f (x) = \frac{2 x}{x + 2}

f (x) = \frac{( 2 )}{x}

What is the range of f(x)=-1/4 sin(4x) ?
The range of f(x)=-1/4 sin(4x) is -1/4 <= f(x)<= 1/4