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Popular >

f(x)=4x^3+16x^2-45x+23

Solution

f (x) = 4 x^{3} + 16 x^{2} - 45 x + 23

Solution

Domain : - \infty < x < \infty

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

X Intercepts : (0.74564 \dots, 0), (1.27980 \dots, 0), (- 6.02545 \dots, 0), Y Intercepts : (0, 23)

Asymptotes : None

Extreme Points : Maximum (- \frac{8 + 199}{6}, \frac{2132 + 199 199}{27} + 23), Minimum (\frac{- 8 + 199}{6}, \frac{2132 - 199 199}{27} + 23)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

4 x^{3} + 16 x^{2} - 45 x + 23 : - \infty < x < \infty

Range of

4 x^{3} + 16 x^{2} - 45 x + 23 : - \infty < f (x) < \infty

Axis interception points of

4 x^{3} + 16 x^{2} - 45 x + 23 :

X Intercepts

: (0.74564 \dots, 0), (1.27980 \dots, 0), (- 6.02545 \dots, 0),

Y Intercepts

: (0, 23)

Asymptotes of

4 x^{3} + 16 x^{2} - 45 x + 23 :

None

Extreme Points of

4 x^{3} + 16 x^{2} - 45 x + 23 :

Maximum

(- \frac{8 + 199}{6}, \frac{2132 + 199 199}{27} + 23),

Minimum

(\frac{- 8 + 199}{6}, \frac{2132 - 199 199}{27} + 23)

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Frequently Asked Questions (FAQ)

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