Answered

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Which points are on the graph of f(x)=2^x-3 Select each correct answer.(3, 1) (0, 1) (1, 3) (6, 8)

Sagot :

theleangreenbean

Points on a Function

We can determine whether or not a point falls on the graph of a function by plugging its coordinates into the function equation.

If the right side is equal to the left side, the the equation is true, and the point does fall on the graph.

Solving the Question

We're given:

  • [tex]f(x)=2^x-3[/tex]
  • Answer choices: (3, 1) (0, 1) (1, 3) (6, 8)

(3, 1)

[tex]f(x)=2^x-3[/tex]

⇒ Plug in the coordinates:

[tex]1=2^3-3\\1=8-3\\1\neq5[/tex]

(3,1) is not on the graph.

(0,1)

[tex]f(x)=2^x-3[/tex]

⇒ Plug in the coordinates:

[tex]1=2^(0)-3\\1=1-3\\1\neq-2[/tex]

(0,1) is not on the graph.

(1,3)

[tex]f(x)=2^x-3[/tex]

⇒ Plug in the coordinates:

[tex]3=2^(1)-3\\3=2-3\\3\neq-1[/tex]

(1,3) is not on the graph.

(6,8)

[tex]f(x)=2^x-3[/tex]

⇒ Plug in the coordinates:

[tex]8=2^(6)-3\\8=64-3\\8\neq61[/tex]

(6,8) is not on the graph.

Answer

None of the points are on the graph of the given function.

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