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Popular >

f(x)=7x^3-5x^2-63x+45

Solution

f (x) = 7 x^{3} - 5 x^{2} - 63 x + 45

Solution

Domain : - \infty < x < \infty

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

X Intercepts : (\frac{5}{7}, 0), (- 3, 0), (3, 0), Y Intercepts : (0, 45)

Asymptotes : None

Extreme Points : Maximum (\frac{5 - 2 337}{21}, \frac{- 250 - 2546 337}{1323} + 30 + 6337), Minimum (\frac{5 + 2 337}{21}, \frac{2546 337 - 250}{1323} + 30 - 6337)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

7 x^{3} - 5 x^{2} - 63 x + 45 : - \infty < x < \infty

Range of

7 x^{3} - 5 x^{2} - 63 x + 45 : - \infty < f (x) < \infty

Axis interception points of

7 x^{3} - 5 x^{2} - 63 x + 45 :

X Intercepts

: (\frac{5}{7}, 0), (- 3, 0), (3, 0),

Y Intercepts

: (0, 45)

Asymptotes of

7 x^{3} - 5 x^{2} - 63 x + 45 :

None

Extreme Points of

7 x^{3} - 5 x^{2} - 63 x + 45 :

Maximum

(\frac{5 - 2 337}{21}, \frac{- 250 - 2546 337}{1323} + 30 + 6337),

Minimum

(\frac{5 + 2 337}{21}, \frac{2546 337 - 250}{1323} + 30 - 6337)

Popular Examples

f(x)=x^5+x^3-6x

f (x) = x^{5} + x^{3} - 6 x

f(x)=8+(ln(x^2-4))^2

f (x) = 8 + (ln (x^{2} - 4))^{2}

f(x)=sqrt(x)-x^3

f (x) = x - x^{3}

f(x)=e^{x^2-6x-1}

f (x) = e^{x^{2} - 6 x - 1}

f (x) = - 4 x + 12

Frequently Asked Questions (FAQ)

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