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Popular >

f(x)=1-(x-3)^2

Solution

f (x) = 1 - (x - 3)^{2}

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq 1

X Intercepts : (4, 0), (2, 0), Y Intercepts : (0, - 8)

Vertex : Maximum (3, 1)

Inverse : - x + 1 + 3, - - x + 1 + 3

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, 1]

Solution steps

Domain of

1 - (x - 3)^{2} : - \infty < x < \infty

Range of

1 - (x - 3)^{2} : f (x) \leq 1

Axis interception points of

1 - (x - 3)^{2} :

X Intercepts

: (4, 0), (2, 0),

Y Intercepts

: (0, - 8)

Vertex of

1 - (x - 3)^{2} :

Maximum

(3, 1)

Inverse of

1 - (x - 3)^{2} : - x + 1 + 3, - - x + 1 + 3

Popular Examples

f(x)=sqrt(3+x)+sqrt(3-x)

f (x) = 3 + x + 3 - x

f(x)=x^4-x^3-x-1

f (x) = x^{4} - x^{3} - x - 1

y=((x+1)(x+2))/((x-1)(x-2))

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

f (x) = 4 x^{3} - 6

y = 25 x^{2} - 100

Frequently Asked Questions (FAQ)

What is the f(x)=1-(x-3)^2 ?
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