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Popular >

g(x)=2-x^2

Solution

g (x) = 2 - x^{2}

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq 2

X Intercepts : (2, 0), (- 2, 0), Y Intercepts : (0, 2)

Vertex : Maximum (0, 2)

Inverse : - x + 2, - - x + 2

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, 2]

Solution steps

Domain of

2 - x^{2} : - \infty < x < \infty

Range of

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

Axis interception points of

2 - x^{2} :

X Intercepts

: (2, 0), (- 2, 0),

Y Intercepts

: (0, 2)

Vertex of

2 - x^{2} :

Maximum

(0, 2)

Inverse of

2 - x^{2} : - x + 2, - - x + 2

Popular Examples

f(x)=(2x-3)/(x^2-3x)

f (x) = \frac{2 x - 3}{x ^{2} - 3 x}

g(x)=sqrt(x^2-8x+12)

g (x) = x^{2} - 8 x + 12

y = \frac{3}{8} x + 5

f(x)=\sqrt[3]{e^{2x}+sin(2x^4)}

f(x)=(-3x^2+9x-6)/(2x^2-8)

f (x) = \frac{- 3 x ^{2} + 9 x - 6}{2 x ^{2} - 8}

Frequently Asked Questions (FAQ)

What is the g(x)=2-x^2 ?
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