Solved on Jan 23, 2024

Graph the equation $x=7$ by plotting points. Determine the domain and range.

STEP 1

Assumptions
1. We are working with the equation $x = 7$ .
2. The graph will be plotted on a standard Cartesian coordinate system.
3. The domain of a function is the set of all possible input values (x-values) which allow the function to work within the real numbers.
4. The range of a function is the set of all possible output values (y-values) which result from using the function.

STEP 2

Understand the equation $x = 7$ . This equation represents a vertical line on the Cartesian coordinate system where the x-coordinate of every point on the line is 7.

STEP 3

Choose several values for $y$ to plot points on the graph. Since $x$ must always be 7, we can choose any values for $y$ . For example, let's choose $y = -2, 0, 2, 4$ .

STEP 4

Plot the points $(7, -2)$ , $(7, 0)$ , $(7, 2)$ , and $(7, 4)$ on the Cartesian coordinate system.

STEP 5

Draw a straight line through the plotted points. This line will be vertical and pass through the x-axis at $x = 7$ .

STEP 6

Determine the domain of the equation $x = 7$ . Since $x$ must always be 7, the domain is the set containing only the number 7.
$Domain = \{7\}$

STEP 7

Determine the range of the equation $x = 7$ . Since $y$ can be any real number, the range is all real numbers.
$Range = (-\infty, \infty)$
The domain of the equation $x = 7$ is $\{7\}$ , and the range is $(-\infty, \infty)$ . The graph is a vertical line that crosses the x-axis at $x = 7$ .

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Graph the equation $x=7$ by plotting points. Determine the domain and range.

STEP 1

STEP 2

Understand the equation $x = 7$ . This equation represents a vertical line on the Cartesian coordinate system where the x-coordinate of every point on the line is 7.

STEP 3

Choose several values for $y$ to plot points on the graph. Since $x$ must always be 7, we can choose any values for $y$ . For example, let's choose $y = -2, 0, 2, 4$ .

STEP 4

Plot the points $(7, -2)$ , $(7, 0)$ , $(7, 2)$ , and $(7, 4)$ on the Cartesian coordinate system.

STEP 5

Draw a straight line through the plotted points. This line will be vertical and pass through the x-axis at $x = 7$ .

STEP 6

Determine the domain of the equation $x = 7$ . Since $x$ must always be 7, the domain is the set containing only the number 7.
$Domain = \{7\}$

STEP 7

Determine the range of the equation $x = 7$ . Since $y$ can be any real number, the range is all real numbers.
$Range = (-\infty, \infty)$
The domain of the equation $x = 7$ is $\{7\}$ , and the range is $(-\infty, \infty)$ . The graph is a vertical line that crosses the x-axis at $x = 7$ .

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Graph the equation x=7x=7x=7 by plotting points. Determine the domain and range.

STEP 1

STEP 2

Understand the equation x=7x = 7x=7. This equation represents a vertical line on the Cartesian coordinate system where the x-coordinate of every point on the line is 7.

STEP 3

Choose several values for yyy to plot points on the graph. Since xxx must always be 7, we can choose any values for yyy. For example, let's choose y=−2,0,2,4y = -2, 0, 2, 4y=−2,0,2,4.

STEP 4

Plot the points (7,−2)(7, -2)(7,−2), (7,0)(7, 0)(7,0), (7,2)(7, 2)(7,2), and (7,4)(7, 4)(7,4) on the Cartesian coordinate system.

STEP 5

Draw a straight line through the plotted points. This line will be vertical and pass through the x-axis at x=7x = 7x=7.

STEP 6

Determine the domain of the equation x=7x = 7x=7. Since xxx must always be 7, the domain is the set containing only the number 7.Domain={7}Domain = \{7\}Domain={7}

STEP 7

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Graph the equation $x=7$ by plotting points. Determine the domain and range.

Understand the equation $x = 7$ . This equation represents a vertical line on the Cartesian coordinate system where the x-coordinate of every point on the line is 7.

Choose several values for $y$ to plot points on the graph. Since $x$ must always be 7, we can choose any values for $y$ . For example, let's choose $y = -2, 0, 2, 4$ .

Plot the points $(7, -2)$ , $(7, 0)$ , $(7, 2)$ , and $(7, 4)$ on the Cartesian coordinate system.

Draw a straight line through the plotted points. This line will be vertical and pass through the x-axis at $x = 7$ .

Determine the domain of the equation $x = 7$ . Since $x$ must always be 7, the domain is the set containing only the number 7.
$Domain = \{7\}$