What is the range of-5cos(6x) ?

The range of-5cos(6x) is -5<= f(x)<= 5

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range of-5cos(6x)

range

- 5 cos (6 x)

- 5 \leq f (x) \leq 5

Interval Notation

[- 5, 5]

Solution steps

The range of the basic

cos

function is

- 1 \leq cos (6 x) \leq 1

- 1 \leq cos (6 x) \leq 1

Multiply the edges of the range by:

- 5

- 5 \leq - 5 cos (6 x) \leq 5

Therefore the range is

- 5 \leq f (x) \leq 5

(0, 0), (4.6729, 16.617)

f (x) = 2 x^{3} - 12 x^{2} - 30 x + 9

- 12 x^{2} - 18 x

f (x) = x^{3} + x^{2}

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