What is the f(x)=-2x^4+17x^3-37x^2+7x+15 ?

The f(x)=-2x^4+17x^3-37x^2+7x+15 is

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f(x)=-2x^4+17x^3-37x^2+7x+15

f (x) = - 2 x^{4} + 17 x^{3} - 37 x^{2} + 7 x + 15

Domain : - \infty < x < \infty

Range : f (x) \leq 28.94660 \dots

X Intercepts : (1, 0), (3, 0), (- \frac{1}{2}, 0), (5, 0), Y Intercepts : (0, 15)

Asymptotes : None

Extreme Points : Maximum (0.10159 \dots, 15.34688 \dots), Minimum (2.02934 \dots, - 15.01468 \dots), Maximum (4.24406 \dots, 28.94660 \dots)

Solution steps

Domain of

- 2 x^{4} + 17 x^{3} - 37 x^{2} + 7 x + 15 : - \infty < x < \infty

Range of

- 2 x^{4} + 17 x^{3} - 37 x^{2} + 7 x + 15 : f (x) \leq 28.94660 \dots

Axis interception points of

- 2 x^{4} + 17 x^{3} - 37 x^{2} + 7 x + 15 :

X Intercepts

: (1, 0), (3, 0), (- \frac{1}{2}, 0), (5, 0),

Y Intercepts

: (0, 15)

Asymptotes of

- 2 x^{4} + 17 x^{3} - 37 x^{2} + 7 x + 15 :

None

Extreme Points of

- 2 x^{4} + 17 x^{3} - 37 x^{2} + 7 x + 15 :

Maximum

(0.10159 \dots, 15.34688 \dots),

Minimum

(2.02934 \dots, - 15.01468 \dots),

Maximum

(4.24406 \dots, 28.94660 \dots)

f (x) = cos (ln (x)) \cdot tan (ln (x))

f (x) = 5 x^{2} + 10 x + 1

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

f (x) = 2 x^{4} + 2 x^{3} + x^{2} - x - 1

f (x) = \frac{2}{x ^{2} - π}