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Popular Functions >

y=2x^2-9x+10

Solution

y = 2 x^{2} - 9 x + 10

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - \frac{1}{8}

X Intercepts : (\frac{5}{2}, 0), (2, 0), Y Intercepts : (0, 10)

Vertex : Minimum (\frac{9}{4}, - \frac{1}{8})

Inverse : \frac{9 + 8 x + 1}{4}, \frac{9 - 8 x + 1}{4}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{1}{8}, \infty)

Solution steps

Domain of

2 x^{2} - 9 x + 10 : - \infty < x < \infty

Range of

2 x^{2} - 9 x + 10 : f (x) \geq - \frac{1}{8}

Axis interception points of

2 x^{2} - 9 x + 10 :

X Intercepts

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

Y Intercepts

: (0, 10)

Vertex of

2 x^{2} - 9 x + 10 :

Minimum

(\frac{9}{4}, - \frac{1}{8})

Inverse of

2 x^{2} - 9 x + 10 : \frac{9 + 8 x + 1}{4}, \frac{9 - 8 x + 1}{4}

Graph

Popular Examples

f(x)=(-x)/2+1/4

domain of f(x)= x/(12-x-x^2)+sqrt((x+8)/2-5)

g(x)=(6x^2+x-5)/(3x^2-7x-20)

Frequently Asked Questions (FAQ)

What is the y=2x^2-9x+10 ?
The y=2x^2-9x+10 is