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Popular >

y=3x+5+5x^2-x^4+2x^3

Solution

y = 3 x + 5 + 5 x^{2} - x^{4} + 2 x^{3}

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq \frac{61 + 20 10}{4} + 5

X Intercepts : (- 1.49581 \dots, 0), (3.68035 \dots, 0), Y Intercepts : (0, 5)

Asymptotes : None

Extreme Points : Maximum (\frac{2 - 10}{2}, \frac{61 - 20 10}{4} + 5), Minimum (- \frac{1}{2}, \frac{71}{16}), Maximum (\frac{2 + 10}{2}, \frac{61 + 20 10}{4} + 5)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \frac{61 + 20 10}{4} + 5]

Solution steps

Domain of

3 x + 5 + 5 x^{2} - x^{4} + 2 x^{3} : - \infty < x < \infty

Range of

3 x + 5 + 5 x^{2} - x^{4} + 2 x^{3} : f (x) \leq \frac{61 + 20 10}{4} + 5

Axis interception points of

3 x + 5 + 5 x^{2} - x^{4} + 2 x^{3} :

X Intercepts

: (- 1.49581 \dots, 0), (3.68035 \dots, 0),

Y Intercepts

: (0, 5)

Asymptotes of

3 x + 5 + 5 x^{2} - x^{4} + 2 x^{3} :

None

Extreme Points of

3 x + 5 + 5 x^{2} - x^{4} + 2 x^{3} :

Maximum

(\frac{2 - 10}{2}, \frac{61 - 20 10}{4} + 5),

Minimum

(- \frac{1}{2}, \frac{71}{16}),

Maximum

(\frac{2 + 10}{2}, \frac{61 + 20 10}{4} + 5)

Popular Examples

f(x)= 1/2 x-1/3

f (x) = \frac{1}{2} x - \frac{1}{3}

y = \frac{2 x - 3}{x + 5}

f(x)=(-4)/(x^2-1)

f (x) = \frac{- 4}{x ^{2} - 1}

f(x)=((4x+6))/((x^2-4)^{1/2)}

f (x) = \frac{( 4 x + 6 )}{( x ^{2} - 4 ) ^{\frac{1}{2}}}

y = 3 x^{2} + 4 x + 2

Frequently Asked Questions (FAQ)

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