moistscissors
moistscissors moistscissors
  • 26-04-2022
  • Mathematics
contestada

What is the domain of the function graphed below?

A. {x | x = -1,2,4}
B. {x | x=-2,-1,2,4}
C. {x | x=2}
D. {x | x=-2,4}

= is not equal to sign

What is the domain of the function graphed below A x x 124 B x x2124 C x x2 D x x24 is not equal to sign class=

Respuesta :

semsee45
semsee45 semsee45
  • 26-04-2022

Answer:

{x | x ≠ -1, 2, 4}

Step-by-step explanation:

Domain: input values (x-values)

Asymptote: a line which the curve gets infinitely close to, but never touches.

Hole: a point on the graph where the function is not defined.

From inspection of the graph:

  • Vertical asymptotes at x = -1 and x = 4
  • Hole at x = 2

As vertical asymptotes and holes restrict the domain of a rational function, the domain is  {x | x ≠ -1, 2, 4}

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