We read your photo as:

Let the function have domain (-2, -1, 0, 1, 2, 3) and be defined by f(x) = x?

Mathematics

ScanSolve AI Answer

Answer

{−2,−1,0,1,2,3}\{-2, -1, 0, 1, 2, 3\}

Graph of f(x) = x

Use the left and right arrow keys to trace the curve, up and down to jump between key points, and plus and minus to zoom.

Key points of f(x) = x
Pointxy
x-intercept00

Step-by-step solution

3 steps
  1. Identify the domain and the function definition.

    The domain of the function is given as D={−2,−1,0,1,2,3}D = \{-2, -1, 0, 1, 2, 3\}.
    The function is defined by f(x)=xf(x) = x.

  2. Calculate the output for each value in the domain.

    To find the range, we substitute each value from the domain into the function f(x)=xf(x) = x.
    For x=−2x = -2, f(−2)=−2f(-2) = -2
    For x=−1x = -1, f(−1)=−1f(-1) = -1
    For x=0x = 0, f(0)=0f(0) = 0
    For x=1x = 1, f(1)=1f(1) = 1
    For x=2x = 2, f(2)=2f(2) = 2
    For x=3x = 3, f(3)=3f(3) = 3

  3. List the values to form the range.

    The range is the set of all output values.
    Range ={−2,−1,0,1,2,3}= \{-2, -1, 0, 1, 2, 3\}

    The range of the function is {−2,−1,0,1,2,3}\boxed{\{-2, -1, 0, 1, 2, 3\}}.

Was this helpful?

Try one yourself

A new problem that tests the same skill.

Still stuck on this one?

Ask a follow-up, and the answer starts from this question.

Got a different question?Ask your own question