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Popular >

f(a)=-a^3+5a^2+a-17

Solution

f (a) = - a^{3} + 5 a^{2} + a - 17

Solution

Domain : - \infty < a < \infty

Range : - \infty < f (x) < \infty

X Intercepts : (4.32088 \dots, 0), (- 1.67282 \dots, 0), (2.35193 \dots, 0), Y Intercepts : (0, - 17)

Asymptotes : Horizontal y = - a^{3} + 5 a^{2} + a - 17

Extreme Points : Minimum (- \frac{- 5 + 2 7}{3}, \frac{295 - 112 7}{27} - 17), Maximum (\frac{5 + 2 7}{3}, \frac{295 + 112 7}{27} - 17)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

- a^{3} + 5 a^{2} + a - 17 : - \infty < a < \infty

Range of

- a^{3} + 5 a^{2} + a - 17 : - \infty < f (x) < \infty

Axis interception points of

- a^{3} + 5 a^{2} + a - 17 :

X Intercepts

: (4.32088 \dots, 0), (- 1.67282 \dots, 0), (2.35193 \dots, 0),

Y Intercepts

: (0, - 17)

Asymptotes of

- a^{3} + 5 a^{2} + a - 17 :

Horizontal

: y = - a^{3} + 5 a^{2} + a - 17

Extreme Points of

- a^{3} + 5 a^{2} + a - 17 :

Minimum

(- \frac{- 5 + 2 7}{3}, \frac{295 - 112 7}{27} - 17),

Maximum

(\frac{5 + 2 7}{3}, \frac{295 + 112 7}{27} - 17)

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y=sqrt(1-\sqrt{1+x)}

y = 1 - 1 + x

y=((10^x-10^{x-1}))/((10^{x+1)+10^x)}

y = \frac{( 1 0 ^{x} - 1 0 ^{x - 1} )}{( 1 0 ^{x + 1} + 1 0 ^{x} )}

y=((sqrt(x)-1)/((sqrt(x))))^2

y = (\frac{x - 1}{( x )})^{2}

Frequently Asked Questions (FAQ)

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