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Popular >

f(x)=x^4+8x^3-9x+9

Solution

f (x) = x^{4} + 8 x^{3} - 9 x + 9

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - 369.28526 \dots

X Intercepts : (- 1.51763 \dots, 0), (- 7.83466 \dots, 0), Y Intercepts : (0, 9)

Asymptotes : None

Extreme Points : Minimum (- 5.93614 \dots, - 369.28526 \dots), Maximum (- 0.64841 \dots, 12.83153 \dots), Minimum (0.58455 \dots, 5.45372 \dots)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 369.28526 \dots, \infty)

Solution steps

Domain of

x^{4} + 8 x^{3} - 9 x + 9 : - \infty < x < \infty

Range of

x^{4} + 8 x^{3} - 9 x + 9 : f (x) \geq - 369.28526 \dots

Axis interception points of

x^{4} + 8 x^{3} - 9 x + 9 :

X Intercepts

: (- 1.51763 \dots, 0), (- 7.83466 \dots, 0),

Y Intercepts

: (0, 9)

Asymptotes of

x^{4} + 8 x^{3} - 9 x + 9 :

None

Extreme Points of

x^{4} + 8 x^{3} - 9 x + 9 :

Minimum

(- 5.93614 \dots, - 369.28526 \dots),

Maximum

(- 0.64841 \dots, 12.83153 \dots),

Minimum

(0.58455 \dots, 5.45372 \dots)

Popular Examples

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f(x)=x^{10}+29x^4+x^2+8

f (x) = x^{10} + 29 x^{4} + x^{2} + 8

f(x)=(x-3)/(x^2-3x+2)

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

f(x)=x^3-2x^2-4x+4

f (x) = x^{3} - 2 x^{2} - 4 x + 4

f(x)=5ln(x^2+9)-x

f (x) = 5 ln (x^{2} + 9) - x

Frequently Asked Questions (FAQ)

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