Math Problem Statement
Complete the table and then graph the function.
y
=
–
1
2
x
–
5
x
y
–
10
–
4
0
8
10
Click to select points on the graph.
Solution
Let's complete the table and then discuss how to graph the function .
Step 1: Calculate the -values
Given the function :
-
When :
-
When :
-
When :
-
When :
-
When :
Completed Table
x & y \\ \hline -10 & 0 \\ -4 & -3 \\ 0 & -5 \\ 8 & -9 \\ 10 & -10 \\ \end{array}$$ ### Step 2: Graph the Function The points to plot on the graph are: - $$(-10, 0)$$ - $$(-4, -3)$$ - $$(0, -5)$$ - $$(8, -9)$$ - $$(10, -10)$$ These points will form a straight line, as the function is linear with a slope of $$-\frac{1}{2}$$. To graph: 1. Plot each of the points on a coordinate plane. 2. Draw a straight line that passes through all the plotted points. Would you like further details on how to plot the points, or do you have any other questions? ### Related Questions: 1. What does the slope of $$-\frac{1}{2}$$ indicate about the direction of the line? 2. How do you find the $$x$$-intercept of the function $$y = -\frac{1}{2}x - 5$$? 3. What is the significance of the $$y$$-intercept in this function? 4. How would the graph change if the function were $$y = \frac{1}{2}x - 5$$ instead? 5. How do you graph a function if given only the slope and $$y$$-intercept? **Tip:** When working with linear equations, identifying the slope and intercepts can help you quickly sketch the graph.Ask a new question for Free
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Math Problem Analysis
Mathematical Concepts
Linear equations
Graphing functions
Formulas
-
Theorems
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Suitable Grade Level
Grades 7-9