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Popular >

f(x)=(x+2)(x-3)

Solution

f (x) = (x + 2) (x - 3)

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - \frac{25}{4}

X Intercepts : (- 2, 0), (3, 0), Y Intercepts : (0, - 6)

Vertex : Minimum (\frac{1}{2}, - \frac{25}{4})

Inverse : \frac{1 + 4 x + 25}{2}, \frac{1 - 4 x + 25}{2}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{25}{4}, \infty)

Solution steps

Domain of

(x + 2) (x - 3) : - \infty < x < \infty

Range of

(x + 2) (x - 3) : f (x) \geq - \frac{25}{4}

Axis interception points of

(x + 2) (x - 3) :

X Intercepts

: (- 2, 0), (3, 0),

Y Intercepts

: (0, - 6)

Vertex of

(x + 2) (x - 3) :

Minimum

(\frac{1}{2}, - \frac{25}{4})

Inverse of

(x + 2) (x - 3) : \frac{1 + 4 x + 25}{2}, \frac{1 - 4 x + 25}{2}

Popular Examples

f(x)=2x^3-5x^2-19x+12

f (x) = 2 x^{3} - 5 x^{2} - 19 x + 12

y = - 0.07 x^{2} + x

f(x)=((8x+5))/((4x+2))

f (x) = \frac{( 8 x + 5 )}{( 4 x + 2 )}

f(x)= 1/((x^2-10x+25))

f (x) = \frac{1}{( x ^{2} - 10 x + 25 )}

f(x)=((e^x+1))/((1-e^x))

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

Frequently Asked Questions (FAQ)

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