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Popular >

f(x)=(2x^2-3x)(-4x^2+5)

Solution

f (x) = (2 x^{2} - 3 x) (- 4 x^{2} + 5)

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq \frac{5 ( 1055 + 53 265 )}{1024}

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

Asymptotes : None

Extreme Points : Maximum (\frac{5 - 265}{16}, \frac{5 ( 1055 + 53 265 )}{1024}), Minimum (\frac{1}{2}, - 4), Maximum (\frac{5 + 265}{16}, \frac{5 ( 1055 - 53 265 )}{1024})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \frac{5 ( 1055 + 53 265 )}{1024}]

Solution steps

Domain of

(2 x^{2} - 3 x) (- 4 x^{2} + 5) : - \infty < x < \infty

Range of

(2 x^{2} - 3 x) (- 4 x^{2} + 5) : f (x) \leq \frac{5 ( 1055 + 53 265 )}{1024}

Axis interception points of

(2 x^{2} - 3 x) (- 4 x^{2} + 5) :

X Intercepts

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

Y Intercepts

: (0, 0)

Asymptotes of

(2 x^{2} - 3 x) (- 4 x^{2} + 5) :

None

Extreme Points of

(2 x^{2} - 3 x) (- 4 x^{2} + 5) :

Maximum

(\frac{5 - 265}{16}, \frac{5 ( 1055 + 53 265 )}{1024}),

Minimum

(\frac{1}{2}, - 4),

Maximum

(\frac{5 + 265}{16}, \frac{5 ( 1055 - 53 265 )}{1024})

Popular Examples

f (m) = 8 m^{2} + 9 m + 5

f(k)=19k^2+23k+10

f (k) = 19 k^{2} + 23 k + 10

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

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

f(x)=x^5+(x+3)2

f (x) = x^{5} + (x + 3) 2

f (x) = 9 - 4 x^{3}

Frequently Asked Questions (FAQ)

What is the f(x)=(2x^2-3x)(-4x^2+5) ?
The f(x)=(2x^2-3x)(-4x^2+5) is