Math Problem Statement
A function is given. Complete the table and then graph the function.
F(x) =
x + 2
xF(x)
−2 −1 2 7 14 23
Solution
The given function is .
Let's complete the table by calculating for each given value.
Table completion:
We compute for the values of .
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For :
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For :
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For :
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For :
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For :
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For :
Completed table:
\hline x & F(x) \\ \hline -2 & 0 \\ -1 & 1 \\ 2 & 4 \\ 7 & 9 \\ 14 & 16 \\ 23 & 25 \\ \hline \end{array}$$ ### Graphing the function: This is a linear function, $$F(x) = x + 2$$, with a slope of 1 and a y-intercept of 2. Plot the points $$(-2, 0)$$, $$(-1, 1)$$, $$(2, 4)$$, $$(7, 9)$$, $$(14, 16)$$, and $$(23, 25)$$ on the graph, then draw a straight line through them. --- Do you want a graph generated for this, or do you have any questions on how to plot it? --- Here are 5 relative questions: 1. How do you find the slope of a linear function? 2. What is the significance of the y-intercept in a function? 3. How would you graph a non-linear function, like a quadratic? 4. What happens to the graph of $$F(x)$$ if we add or subtract from the equation? 5. How can you determine if a function is increasing or decreasing? **Tip:** Linear functions are always represented by straight lines, and their slope tells us the steepness or direction of the line.Ask a new question for Free
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Math Problem Analysis
Mathematical Concepts
Linear Functions
Algebra
Formulas
F(x) = x + 2
Theorems
Linear Equation Theorem
Suitable Grade Level
Grades 6-8