Questions: Graph the following line. Also, give the (a) x-intercept (if any), (b) y-intercept (if any), (c) domain, (d) range, and (e) slope of the line (if defined). Do not use a calculator. f(x)=7 Use the graphing tool to graph the line. Click to enlarge graph

Graph the following line. Also, give the (a) x-intercept (if any), (b) y-intercept (if any), (c) domain, (d) range, and (e) slope of the line (if defined). Do not use a calculator. f(x)=7 Use the graphing tool to graph the line. Click to enlarge graph
Transcript text: Graph the following line. Also, give the (a) $x$-intercept (if any), (b) $y$-intercept (if any), (c) domain, (d) range, and (e) slope of the line (if defined). Do not use a calculator. \[ f(x)=7 \] Use the graphing tool to graph the line. Click to enlarge graph
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Solution

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Solution Steps

Step 1: Identify the equation of the line

The given equation is \( f(x) = 7 \). This represents a horizontal line where the value of \( y \) is always 7, regardless of the value of \( x \).

Step 2: Determine the x-intercept

A horizontal line \( y = 7 \) does not cross the x-axis. Therefore, there is no x-intercept.

Step 3: Determine the y-intercept

The y-intercept is the point where the line crosses the y-axis. For the line \( y = 7 \), this occurs at \( (0, 7) \).

Final Answer

  • x-intercept: None
  • y-intercept: (0, 7)
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