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Popular >

y=4x^3-4x^2-19x+10

Solution

y = 4 x^{3} - 4 x^{2} - 19 x + 10

Solution

Domain : - \infty < x < \infty

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

X Intercepts : (- 2, 0), (\frac{1}{2}, 0), (\frac{5}{2}, 0), Y Intercepts : (0, 10)

Asymptotes : None

Extreme Points : Maximum (\frac{2 - 61}{6}, \frac{61 61 - 179}{27} + 10), Minimum (\frac{2 + 61}{6}, - \frac{179 + 61 61}{27} + 10)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

4 x^{3} - 4 x^{2} - 19 x + 10 : - \infty < x < \infty

Range of

4 x^{3} - 4 x^{2} - 19 x + 10 : - \infty < f (x) < \infty

Axis interception points of

4 x^{3} - 4 x^{2} - 19 x + 10 :

X Intercepts

: (- 2, 0), (\frac{1}{2}, 0), (\frac{5}{2}, 0),

Y Intercepts

: (0, 10)

Asymptotes of

4 x^{3} - 4 x^{2} - 19 x + 10 :

None

Extreme Points of

4 x^{3} - 4 x^{2} - 19 x + 10 :

Maximum

(\frac{2 - 61}{6}, \frac{61 61 - 179}{27} + 10),

Minimum

(\frac{2 + 61}{6}, - \frac{179 + 61 61}{27} + 10)

Popular Examples

f(x)=-x^3+3x^2+1

f (x) = - x^{3} + 3 x^{2} + 1

f (x) = 6 x^{12}

g (x) = 4^{x} - 3

a=2,f(x)={2-x:x<2,1:x=2,x^2-4:x>2}

a = 2, f (x) = {2 - x : x < 2, 1 : x = 2, x^{2} - 4 : x > 2}

F (x) = x^{2} - 4

Frequently Asked Questions (FAQ)

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