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Popular >

f(x)=2x^2-8x+1

Solution

f (x) = 2 x^{2} - 8 x + 1

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - 7

X Intercepts : (\frac{4 + 14}{2}, 0), (\frac{4 - 14}{2}, 0), Y Intercepts : (0, 1)

Vertex : Minimum (2, - 7)

Inverse : \frac{8 + 8 x + 56}{4}, \frac{8 - 8 x + 56}{4}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 7, \infty)

Solution steps

Domain of

2 x^{2} - 8 x + 1 : - \infty < x < \infty

Range of

2 x^{2} - 8 x + 1 : f (x) \geq - 7

Axis interception points of

2 x^{2} - 8 x + 1 :

X Intercepts

: (\frac{4 + 14}{2}, 0), (\frac{4 - 14}{2}, 0),

Y Intercepts

: (0, 1)

Vertex of

2 x^{2} - 8 x + 1 :

Minimum

(2, - 7)

Inverse of

2 x^{2} - 8 x + 1 : \frac{8 + 8 x + 56}{4}, \frac{8 - 8 x + 56}{4}

Popular Examples

f(x)=log_{b}(x)

f (x) = lo g_{b} (x)

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

f(x)=9sin(x-5)+8

f (x) = 9 sin (x - 5) + 8

y = 8 x + 3

y = ln (x - 2)

Frequently Asked Questions (FAQ)

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