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Popular >

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

Solution

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

Solution

Domain : - \infty < x < \infty

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

X Intercepts : (\frac{5}{2}, 0), (- 1, 0), Y Intercepts : (0, - 5)

Vertex : Minimum (\frac{3}{4}, - \frac{49}{8})

Inverse : \frac{3 + 8 x + 49}{4}, \frac{3 - 8 x + 49}{4}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{49}{8}, \infty)

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

X Intercepts

: (\frac{5}{2}, 0), (- 1, 0),

Y Intercepts

: (0, - 5)

Vertex of

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

Minimum

(\frac{3}{4}, - \frac{49}{8})

Inverse of

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

Popular Examples

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y = x^{2} + 2 x + 6

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{x ∣ - 1 < x \leq 3}

f(x)=-2x^2+4x+4

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

Frequently Asked Questions (FAQ)

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