What is the range of-5cos(pi/4 x)-1 ?

The range of-5cos(pi/4 x)-1 is -6<= f(x)<= 4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

range of-5cos(pi/4 x)-1

range

- 5 cos (\frac{π}{4} x) - 1

- 6 \leq f (x) \leq 4

Interval Notation

[- 6, 4]

Solution steps

The range of the basic

cos

function is

- 1 \leq cos (\frac{π}{4} x) \leq 1

- 1 \leq cos (\frac{π}{4} x) \leq 1

Multiply the edges of the range by:

- 5

- 5 \leq - 5 cos (\frac{π}{4} x) \leq 5

Add to the edges of the range:

- 1

- 6 \leq - 5 cos (\frac{π}{4} x) - 1 \leq 4

Therefore the range is

- 6 \leq f (x) \leq 4

What is the range of-5cos(pi/4 x)-1 ?
The range of-5cos(pi/4 x)-1 is -6<= f(x)<= 4