What is the range of 3cos(4x) ?

The range of 3cos(4x) is -3<= f(x)<= 3

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range of 3cos(4x)

range

3 cos (4 x)

- 3 \leq f (x) \leq 3

Interval Notation

[- 3, 3]

Solution steps

The range of the basic

cos

function is

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

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

Multiply the edges of the range by:

3

- 3 \leq 3 cos (4 x) \leq 3

Therefore the range is

- 3 \leq f (x) \leq 3

y = 1 - \frac{x}{5}

f (x) = \frac{x - 3}{2 x ^{2} + 10 x}

f (x) = - 4 x^{3} + 5

f (x) = \frac{4 x ^{2} + 32 x}{3 x + 24}