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Popular >

f(x)=8-7x+x^2

Solution

f (x) = 8 - 7 x + x^{2}

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - \frac{17}{4}

X Intercepts : (\frac{7 + 17}{2}, 0), (\frac{7 - 17}{2}, 0), Y Intercepts : (0, 8)

Vertex : Minimum (\frac{7}{2}, - \frac{17}{4})

Inverse : \frac{7 + 4 x + 17}{2}, \frac{7 - 4 x + 17}{2}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{17}{4}, \infty)

Solution steps

Domain of

8 - 7 x + x^{2} : - \infty < x < \infty

Range of

8 - 7 x + x^{2} : f (x) \geq - \frac{17}{4}

Axis interception points of

8 - 7 x + x^{2} :

X Intercepts

: (\frac{7 + 17}{2}, 0), (\frac{7 - 17}{2}, 0),

Y Intercepts

: (0, 8)

Vertex of

8 - 7 x + x^{2} :

Minimum

(\frac{7}{2}, - \frac{17}{4})

Inverse of

8 - 7 x + x^{2} : \frac{7 + 4 x + 17}{2}, \frac{7 - 4 x + 17}{2}

Popular Examples

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f (a) = a^{2} - 5

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f(x)=6x^2-7x-30

f (x) = 6 x^{2} - 7 x - 30

Frequently Asked Questions (FAQ)

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