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

The range of cos(x)-3 is -4<= f(x)<=-2

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range of cos(x)-3

range

cos (x) - 3

- 4 \leq f (x) \leq - 2

Interval Notation

[- 4, - 2]

Solution steps

The range of the basic

cos

function is

- 1 \leq cos (x) \leq 1

- 1 \leq cos (x) \leq 1

Add to the edges of the range:

- 3

- 4 \leq cos (x) - 3 \leq - 2

Therefore the range is

- 4 \leq f (x) \leq - 2

1 - x - x^{2}

f (x) = \frac{( 5 x - 2 )}{- 5 x + 1}

(3, - 2), (13, 10)

y = 3 x - 2, (- 1, 3)

(- 8, 2), (- 8 + 43, 6)