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Popular >

f(x)=-4x^2+7

Solution

f (x) = - 4 x^{2} + 7

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq 7

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

Vertex : Maximum (0, 7)

Inverse : - \frac{x - 7}{4}, - - \frac{x - 7}{4}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, 7]

Solution steps

Domain of

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

Range of

- 4 x^{2} + 7 : f (x) \leq 7

Axis interception points of

- 4 x^{2} + 7 :

X Intercepts

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

Y Intercepts

: (0, 7)

Vertex of

- 4 x^{2} + 7 :

Maximum

(0, 7)

Inverse of

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

Popular Examples

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f (x) = \frac{x ^{2} - x - 30}{x ^{2} - 25}

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q (x) = csc (x) (sin (x) + tan (x)) - 1

f(x)=sqrt(-9+6x-x^2)

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

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

f(x)=4-tan(x^2+1)

f (x) = 4 - tan (x^{2} + 1)

Frequently Asked Questions (FAQ)

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