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taylor cos(2x+5)

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intercepts xx²−6x+8

Solution

X Intercepts: (0, 0), Y Intercepts: (0, 0)

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Function range definition

The set of values of the dependent variable for which a function is defined

Rewrite as

5x+27x 2x =y

Simplify 5x+27x 2x : 5x+214x²

5x+214x² =y

Multiply both sides by x²

5x+214 =yx²

The range is the set of y for which the discriminant is greater or equal to zero

Discriminant 5x+214 =yx²: 25+112y

25+112y≥ 0 : y≥ −25112

Check if the range interval endpoints are included

y=−25112 : Included

Therefore the range is

f(x)≥ −25112

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−▭▭	<	7	8	9	÷	`AC`
+▭▭	>	4	5	6	×	☐☐☐
×▭▭	(	1	2	3	−	`x`
▭ \|▭	)	.	0	=	+	`y`

taylor cos(2x+5)

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