Math Problem Statement
Which is an x-intercept of the continuous function in the table?
Solution
To determine the x-intercept from the given table, we need to identify the point where the function . The x-intercept occurs when (or ) equals 0.
From the table:
\hline x & f(x) \\ \hline -2 & -10 \\ -1 & -8 \\ 0 & -6 \\ 1 & -4 \\ 2 & -2 \\ 3 & 0 \\ \hline \end{array}$$ The function $$f(x) = 0$$ when $$x = 3$$. This means the x-intercept is at the point $$(3, 0)$$. So, the correct answer is: **(3, 0)**. Would you like more details or further explanation on this? Here are 5 related questions to expand your understanding: 1. How do you find the y-intercept from a table of values? 2. What does the x-intercept tell you about the graph of a function? 3. How would the graph of this function look based on the table's values? 4. How do you determine if a function has more than one x-intercept? 5. What is the significance of a continuous function in this context? **Tip:** The x-intercept is always where the graph crosses the x-axis, which happens when the output $$f(x) = 0$$.Ask a new question for Free
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Math Problem Analysis
Mathematical Concepts
Algebra
Functions
X-intercepts
Formulas
f(x) = 0 to find the x-intercept
Theorems
The x-intercept is where the graph crosses the x-axis
Suitable Grade Level
Grades 7-9