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Popular >

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

Solution

range

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

Solution

f (x) \leq 4

+1

Interval Notation

(- \infty, 4]

Solution steps

Vertex of

4 - 2 x^{2} :

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

inverse of f(x)=5x^3-6 inverse

f (x) = 5 x^{3} - 6

inverse of V(a)=(23a^3)/3 inverse

V (a) = \frac{23 a ^{3}}{3}

inverse of 3x+5 inverse

3 x + 5

domain of f(x)=sqrt(18-2x)domain

f (x) = 18 - 2 x

domain of f(x)= x/(x^2-x+1)domain

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

Frequently Asked Questions (FAQ)

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