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
failed

Solution

failed
failed

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)
Was this solution helpful?
failed
Unhelpful
failed
Helpful

Questions asked by other users

failedAnswered
Factor completely. (x-5)^2+8(x-5)+12 Simplify your answer as much as possible.
failedAnswered
What is a heterogeneous mixture?
failedAnswered
Question 5 (1 point) Which of the following represents a vertical stretch to the parent function f(x)=x ? g(x)=-x g(x)=(1/3) x g(x)=3x g(x)=-x g(x)=(1/3)x g(x)=3 x
failedAnswered
Evaluate the algebraic expression. b^2 - 4ac for a=5, b=8, and c=-5
failedAnswered
The period is the developmental period from about 6 to 11 years of age, approximately corresponding to the elementary school years.