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Popular >

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

Solution

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

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq 3

X Intercepts : (\frac{3}{5}, 0), (- \frac{3}{5}, 0), Y Intercepts : (0, 3)

Vertex : Maximum (0, 3)

Inverse : - \frac{x - 3}{5}, - - \frac{x - 3}{5}

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, 3]

Solution steps

Domain of

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

Range of

- 5 x^{2} + 3 : f (x) \leq 3

Axis interception points of

- 5 x^{2} + 3 :

X Intercepts

: (\frac{3}{5}, 0), (- \frac{3}{5}, 0),

Y Intercepts

: (0, 3)

Vertex of

- 5 x^{2} + 3 :

Maximum

(0, 3)

Inverse of

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

Popular Examples

y = 2 x^{2} - 3 x - 4

f (x) = x^{2} - 10 x - 3

f (x) = \frac{1}{5 x ^{3}}

f(x)=4x^5-8x^4+8x^2-4x

f (x) = 4 x^{5} - 8 x^{4} + 8 x^{2} - 4 x

y = 2^{x}

Frequently Asked Questions (FAQ)

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