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Popular >

range of f(x)=-2x^2+4

Solution

range

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

Solution

f (x) \leq 4

+1

Interval Notation

(- \infty, 4]

Solution steps

Vertex of

- 2 x^{2} + 4 :

Maximum

(0, 4)

For a parabola

a x^{2} + b x + c

with Vertex

(x_{v}, y_{v})

If

a < 0

the range is

f (x) \leq y_{v}

If

a > 0

the range is

f (x) \geq y_{v}

a = - 2,

Vertex

(x_{v}, y_{v}) = (0, 4)

f (x) \leq 4

Popular Examples

inflection f(x)=-x^4+4x+8 inflection points

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

inverse of f(x)=(-3x-13x)/(x+8)inverse

f (x) = \frac{- 3 x - 13 x}{x + 8}

domain of ln(4x^4)domain

ln (4 x^{4})

intercepts of (x^2+5x+4)/(x^2+15x+56)intercepts

\frac{x ^{2} + 5 x + 4}{x ^{2} + 15 x + 56}

vertices y=x^2+4x vertices

y = x^{2} + 4 x

Frequently Asked Questions (FAQ)

What is the range of f(x)=-2x^2+4 ?
The range of f(x)=-2x^2+4 is f(x)<= 4