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Popular >

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

Solution

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

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq \frac{49}{8}

X Intercepts : (- \frac{1}{2}, 0), (3, 0), Y Intercepts : (0, 3)

Vertex : Maximum (\frac{5}{4}, \frac{49}{8})

Inverse : - \frac{- 5 + - 8 x + 49}{4}, - \frac{- 5 - - 8 x + 49}{4}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, \frac{49}{8}]

Solution steps

Domain of

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

Range of

- 2 x^{2} + 5 x + 3 : f (x) \leq \frac{49}{8}

Axis interception points of

- 2 x^{2} + 5 x + 3 :

X Intercepts

: (- \frac{1}{2}, 0), (3, 0),

Y Intercepts

: (0, 3)

Vertex of

- 2 x^{2} + 5 x + 3 :

Maximum

(\frac{5}{4}, \frac{49}{8})

Inverse of

- 2 x^{2} + 5 x + 3 : - \frac{- 5 + - 8 x + 49}{4}, - \frac{- 5 - - 8 x + 49}{4}

Popular Examples

y=-3sin(2x+pi)+1/2

y = - 3 sin (2 x + π) + \frac{1}{2}

f(x)=-2x^4+3x^3-x^2+8x+10

f (x) = - 2 x^{4} + 3 x^{3} - x^{2} + 8 x + 10

f(x)=(x^3+9x)/(3x^2-6x-9)

f (x) = \frac{x ^{3} + 9 x}{3 x ^{2} - 6 x - 9}

f(x)=log_{1-x}(x+3)

f (x) = lo g_{1 - x} (x + 3)

y=sqrt(2-x^2),0<= x<= 1

y = 2 - x^{2}, 0 \leq x \leq 1

Frequently Asked Questions (FAQ)

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