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Popular >

f(x)=18x^2-153x+320

Solution

f (x) = 18 x^{2} - 153 x + 320

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - \frac{41}{8}

X Intercepts : (\frac{51 + 41}{12}, 0), (\frac{51 - 41}{12}, 0), Y Intercepts : (0, 320)

Vertex : Minimum (\frac{17}{4}, - \frac{41}{8})

Inverse : \frac{51 + 8 x + 41}{12}, \frac{51 - 8 x + 41}{12}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{41}{8}, \infty)

Solution steps

Domain of

18 x^{2} - 153 x + 320 : - \infty < x < \infty

Range of

18 x^{2} - 153 x + 320 : f (x) \geq - \frac{41}{8}

Axis interception points of

18 x^{2} - 153 x + 320 :

X Intercepts

: (\frac{51 + 41}{12}, 0), (\frac{51 - 41}{12}, 0),

Y Intercepts

: (0, 320)

Vertex of

18 x^{2} - 153 x + 320 :

Minimum

(\frac{17}{4}, - \frac{41}{8})

Inverse of

18 x^{2} - 153 x + 320 : \frac{51 + 8 x + 41}{12}, \frac{51 - 8 x + 41}{12}

Popular Examples

f(x)=3x^3-14x^2+23x-10

f (x) = 3 x^{3} - 14 x^{2} + 23 x - 10

y=2x^3+5x^2+x-1

y = 2 x^{3} + 5 x^{2} + x - 1

f(x)=(((2^x-3))/((2^x+7)))

f (x) = (\frac{( 2 ^{x} - 3 )}{( 2 ^{x} + 7 )})

f(x)=4x^3+2x^2+6x-10

f (x) = 4 x^{3} + 2 x^{2} + 6 x - 10

y=(3000)/((x^2-x))

y = \frac{3000}{( x ^{2} - x )}

Frequently Asked Questions (FAQ)

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