What is the range of 4cos(x) ?

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

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range of 4cos(x)

range

4 cos (x)

- 4 \leq f (x) \leq 4

Interval Notation

[- 4, 4]

Solution steps

The range of the basic

cos

function is

- 1 \leq cos (x) \leq 1

- 1 \leq cos (x) \leq 1

Multiply the edges of the range by:

4

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

Therefore the range is

- 4 \leq f (x) \leq 4

f (x) = \frac{x ^{2} - x - 6}{x ^{2} - 4}

f (x) = x^{2} - 4 x + 8

f (x) = \frac{5 + x}{5 - x}

f (x) = \frac{x + 6}{x ^{2} - 3 x - 18}

\frac{4}{( x + 1 ) ^{2} - 1}