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Popular >

f(x)=(x-3)(x+4)

Solution

f (x) = (x - 3) (x + 4)

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - \frac{49}{4}

X Intercepts : (3, 0), (- 4, 0), Y Intercepts : (0, - 12)

Vertex : Minimum (- \frac{1}{2}, - \frac{49}{4})

Inverse : \frac{- 1 + 4 x + 49}{2}, \frac{- 1 - 4 x + 49}{2}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{49}{4}, \infty)

Solution steps

Domain of

(x - 3) (x + 4) : - \infty < x < \infty

Range of

(x - 3) (x + 4) : f (x) \geq - \frac{49}{4}

Axis interception points of

(x - 3) (x + 4) :

X Intercepts

: (3, 0), (- 4, 0),

Y Intercepts

: (0, - 12)

Vertex of

(x - 3) (x + 4) :

Minimum

(- \frac{1}{2}, - \frac{49}{4})

Inverse of

(x - 3) (x + 4) : \frac{- 1 + 4 x + 49}{2}, \frac{- 1 - 4 x + 49}{2}

Popular Examples

f(x)=(x-3)(x+1)

f (x) = (x - 3) (x + 1)

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

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

f(x)=(-5x-15)/(x^2+3x)

f (x) = \frac{- 5 x - 15}{x ^{2} + 3 x}

f(x)=(x^2-8)/(x-3)

f (x) = \frac{x ^{2} - 8}{x - 3}

y = - 3 x^{2} + 6 x + 4

Frequently Asked Questions (FAQ)

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