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Popular >

range of y=x^2+7

Solution

range

y = x^{2} + 7

Solution

f (x) \geq 7

+1

Interval Notation

[7, \infty)

Solution steps

Vertex of

x^{2} + 7 :

Minimum

(0, 7)

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}) = (0, 7)

f (x) \geq 7

Popular Examples

range of 3cos(x)+1 range

3 cos (x) + 1

y = - 3 x + 2

inverse of f(x)=log_{10}(x-7)inverse

f (x) = lo g_{10} (x - 7)

shift f(x)=3sin(2x-pi/2)shift

f (x) = 3 sin (2 x - \frac{π}{2})

y = 6

Frequently Asked Questions (FAQ)

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