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Which statements describe the graph of y = 3x - 1+2? Select three options.
The graph has a domain of all real numbers.
The graph has a range of y > 1.
As x is increasing, y is decreasing.
The graph has a y-intercept at (0, 1).
The graph has an x-intercept at (-7,0).

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julianrusso122

Answer:

your answer is A,D,and E

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Step-by-step explanation:

Answer:

The graph has a domain of all real numbers.

The graph has a y-intercept at (0, 1).

Step-by-step explanation:

The given function is

[tex]y=3x-1+2[/tex]

This is linear function, the domain and range of linear functions are always all real numbers, because they don't have any kind of restriction. So, the first option is right.

In addition, linear function are represented by a line which has interceptions with each axis. The interceptions with the vertical axis is when [tex]x=0[/tex]:

[tex]y=3x-1+2\\y=3(0)+1=1[/tex]

So, the fourth option is right,

Similarly, the interception with the horizontal axis is when [tex]y=0[/tex]:

[tex]0=3x-1+2\\-3x=+1\\x=-\frac{1}{3}[/tex]

This means the last option is not correct.

Therefore, all options that apply are

  • The graph has a domain of all real numbers.
  • The graph has a y-intercept at (0, 1).

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