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Popular >

f(x)=(2x^2+5)^{-4}(4x^5+1)

Solution

f (x) = (2 x^{2} + 5)^{- 4} (4 x^{5} + 1)

Solution

Domain : - \infty < x < \infty

Range : - 0.00445 \dots \leq f (x) \leq 0.00451 \dots

Asymptotes : Horizontal y = 0

Extreme Points : Minimum (- 2.05984 \dots, - 0.00445 \dots), Maximum (0.00000 \dots, 0.00160 \dots), Minimum (0.55707 \dots, 0.00121 \dots), Maximum (2.02137 \dots, 0.00451 \dots)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 0.00445 \dots, 0.00451 \dots]

Solution steps

Domain of

(2 x^{2} + 5)^{- 4} (4 x^{5} + 1) : - \infty < x < \infty

Range of

(2 x^{2} + 5)^{- 4} (4 x^{5} + 1) : - 0.00445 \dots \leq f (x) \leq 0.00451 \dots

Axis interception points of

(2 x^{2} + 5)^{- 4} (4 x^{5} + 1) :

X Intercepts

Y Intercepts

: (0, \frac{1}{625})

Asymptotes of

(2 x^{2} + 5)^{- 4} (4 x^{5} + 1) :

Horizontal

: y = 0

Extreme Points of

(2 x^{2} + 5)^{- 4} (4 x^{5} + 1) :

Minimum

(- 2.05984 \dots, - 0.00445 \dots),

Maximum

(0.00000 \dots, 0.00160 \dots),

Minimum

(0.55707 \dots, 0.00121 \dots),

Maximum

(2.02137 \dots, 0.00451 \dots)

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f (k) = 3 k^{2} - 10 k + 7

Frequently Asked Questions (FAQ)

What is the f(x)=(2x^2+5)^{-4}(4x^5+1) ?
The f(x)=(2x^2+5)^{-4}(4x^5+1) is