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Popular Functions >

y=(x^2-5)(x-1)^2(x-2)^3

Solution

y = (x^{2} - 5) (x - 1)^{2} (x - 2)^{3}

Solution

Domain : - \infty < x < \infty

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

X Intercepts : (2, 0), (1, 0), (- 5, 0), (5, 0), Y Intercepts : (0, 40)

Asymptotes : None

Extreme Points : Maximum (- 1.68483 \dots, 779.49013 \dots), Minimum (1, 0), Maximum (1.36019 \dots, 0.10703 \dots), Saddle (2, 0), Minimum (2.18178 \dots, - 0.00201 \dots)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \infty)

Solution steps

Domain of

(x^{2} - 5) (x - 1)^{2} (x - 2)^{3} : - \infty < x < \infty

Range of

(x^{2} - 5) (x - 1)^{2} (x - 2)^{3} : - \infty < f (x) < \infty

Axis interception points of

(x^{2} - 5) (x - 1)^{2} (x - 2)^{3} :

X Intercepts

: (2, 0), (1, 0), (- 5, 0), (5, 0),

Y Intercepts

: (0, 40)

Asymptotes of

(x^{2} - 5) (x - 1)^{2} (x - 2)^{3} :

None

Extreme Points of

(x^{2} - 5) (x - 1)^{2} (x - 2)^{3} :

Maximum

(- 1.68483 \dots, 779.49013 \dots),

Minimum

(1, 0),

Maximum

(1.36019 \dots, 0.10703 \dots),

Saddle

(2, 0),

Minimum

(2.18178 \dots, - 0.00201 \dots)

Graph

Popular Examples

f(x)=9x^2-4/5 x+11

f(x)=x^2arctan(x^3)

f(j)=j^2-24j+23

Frequently Asked Questions (FAQ)

What is the y=(x^2-5)(x-1)^2(x-2)^3 ?
The y=(x^2-5)(x-1)^2(x-2)^3 is