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Popular >

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

Solution

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

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq \frac{16}{3}

X Intercepts : (- 2, 0), (\frac{2}{3}, 0), Y Intercepts : (0, 4)

Vertex : Maximum (- \frac{2}{3}, \frac{16}{3})

Inverse : - \frac{2 + - 3 x + 16}{3}, - \frac{2 - - 3 x + 16}{3}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \frac{16}{3}]

Solution steps

Domain of

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

Range of

(x + 2) (2 - 3 x) : f (x) \leq \frac{16}{3}

Axis interception points of

(x + 2) (2 - 3 x) :

X Intercepts

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

Y Intercepts

: (0, 4)

Vertex of

(x + 2) (2 - 3 x) :

Maximum

(- \frac{2}{3}, \frac{16}{3})

Inverse of

(x + 2) (2 - 3 x) : - \frac{2 + - 3 x + 16}{3}, - \frac{2 - - 3 x + 16}{3}

Popular Examples

f(x)= 1/(3x^2-33x+54)

f (x) = \frac{1}{3 x ^{2} - 33 x + 54}

f(x)=2x^3+24x+5

f (x) = 2 x^{3} + 24 x + 5

f(x)=6x^2+500x+8000

f (x) = 6 x^{2} + 500 x + 8000

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

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

f(x)=(x^3-4)/(x^2)

f (x) = \frac{x ^{3} - 4}{x ^{2}}

Frequently Asked Questions (FAQ)

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