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Popular >

f(t)=10(t^3+4t^2+t-6)

Solution

f (t) = 10 (t^{3} + 4 t^{2} + t - 6)

Solution

Domain : - \infty < t < \infty

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

X Intercepts : (1, 0), (- 2, 0), (- 3, 0), Y Intercepts : (0, - 60)

Asymptotes : None

Extreme Points : Maximum (- \frac{4 + 13}{3}, 10 (\frac{92 + 26 13}{27} - 6)), Minimum (\frac{- 4 + 13}{3}, 10 (\frac{92 - 26 13}{27} - 6))

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

10 (t^{3} + 4 t^{2} + t - 6) : - \infty < t < \infty

Range of

10 (t^{3} + 4 t^{2} + t - 6) : - \infty < f (t) < \infty

Axis interception points of

10 (t^{3} + 4 t^{2} + t - 6) :

X Intercepts

: (1, 0), (- 2, 0), (- 3, 0),

Y Intercepts

: (0, - 60)

Asymptotes of

10 (t^{3} + 4 t^{2} + t - 6) :

None

Extreme Points of

10 (t^{3} + 4 t^{2} + t - 6) :

Maximum

(- \frac{4 + 13}{3}, 10 (\frac{92 + 26 13}{27} - 6)),

Minimum

(\frac{- 4 + 13}{3}, 10 (\frac{92 - 26 13}{27} - 6))

Popular Examples

f(x)=2x^2+6x+13

f (x) = 2 x^{2} + 6 x + 13

g(x)= 1/(x^2-x)

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

f(x)=e^{((2x+5))/3}\mod 3

f (x) = e^{\frac{( 2 x + 5 )}{3}} mod 3

f (x) = \frac{3 x + 5}{x}

f(x)=cos^{3/2}(x)

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

Frequently Asked Questions (FAQ)

What is the f(t)=10(t^3+4t^2+t-6) ?
The f(t)=10(t^3+4t^2+t-6) is