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Popular >

range of f(x)=(x-7)^2

Solution

range

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

Solution

f (x) \geq 0

+1

Interval Notation

[0, \infty)

Solution steps

Vertex of

(x - 7)^{2} :

Minimum

(7, 0)

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 = 1,

Vertex

(x_{v}, y_{v}) = (7, 0)

f (x) \geq 0

Popular Examples

y = 2 x - 2

line (2,3),(-1,5)line

(2, 3), (- 1, 5)

range of 1+(2+x)^{1/2}range

1 + (2 + x)^{\frac{1}{2}}

range of f(x)=-x^3 range

f (x) = - x^{3}

parity f(x)=10+3x^2 parity

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

Frequently Asked Questions (FAQ)

What is the range of f(x)=(x-7)^2 ?
The range of f(x)=(x-7)^2 is f(x)>= 0