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Popular Functions >

y=(x-2)/(x-3)

Solution

y = \frac{x - 2}{x - 3}

Solution

Domain : x < 3 or x > 3

Range : f (x) < 1 or f (x) > 1

X Intercepts : (2, 0), Y Intercepts : (0, \frac{2}{3})

Asymptotes : Vertical x = 3, Horizontal y = 1

Extreme Points : None

+1

Interval Notation

Domain : (- \infty, 3) \cup (3, \infty)

Range : (- \infty, 1) \cup (1, \infty)

Solution steps

Domain of

\frac{x - 2}{x - 3} : x < 3 or x > 3

Range of

\frac{x - 2}{x - 3} : f (x) < 1 or f (x) > 1

Axis interception points of

\frac{x - 2}{x - 3} :

X Intercepts

: (2, 0),

Y Intercepts

: (0, \frac{2}{3})

Asymptotes of

\frac{x - 2}{x - 3} :

Vertical

: x = 3,

Horizontal

: y = 1

Extreme Points of

\frac{x - 2}{x - 3} :

None

Graph

Popular Examples

f(x)=(4-x^2)/(2x^2-7x-4)

y= 3/8 x-1/8 sin(4x)+1/64 sin(8x)

h(x)=-log_{10}(3x-7)+5

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

Frequently Asked Questions (FAQ)

What is the y=(x-2)/(x-3) ?
The y=(x-2)/(x-3) is