What is the range of 3sin(x) ?

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

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range of 3sin(x)

range

3 sin (x)

- 3 \leq f (x) \leq 3

Interval Notation

[- 3, 3]

Solution steps

The range of the basic

sin

function is

- 1 \leq sin (x) \leq 1

- 1 \leq sin (x) \leq 1

Multiply the edges of the range by:

3

- 3 \leq 3 sin (x) \leq 3

Therefore the range is

- 3 \leq f (x) \leq 3

e x t re m e f (x) = 1 - x

in t erce pt s f (x) = \frac{x + 1}{x ^{2} - 3 x - 4}

e x t re m e f (x) = 6 x^{2} + 1 - x

d o main f (x) = ln (x + 2) + ln (x - 2)

r an g e x^{3} + 16