Question: If the graph of a function f(x) intersects the x-axis at x = 3, what can be concluded?
Options:
f(3) = 0.
f(3) > 0.
f(3) < 0.
f(3) is undefined.
Correct Answer: f(3) = 0.
Solution:
The intersection of the graph with the x-axis indicates that the function value at that point is zero.
If the graph of a function f(x) intersects the x-axis at x = 3, what can be conc
Practice Questions
Q1
If the graph of a function f(x) intersects the x-axis at x = 3, what can be concluded?
f(3) = 0.
f(3) > 0.
f(3) < 0.
f(3) is undefined.
Questions & Step-by-Step Solutions
If the graph of a function f(x) intersects the x-axis at x = 3, what can be concluded?
Step 1: Understand what the x-axis represents. The x-axis is where the value of y (or f(x)) is zero.
Step 2: Recognize that when a graph intersects the x-axis, it means that at that point, the output of the function is zero.
Step 3: Since the graph of the function f(x) intersects the x-axis at x = 3, we can say that f(3) = 0.
Step 4: Conclude that the function value at x = 3 is zero.
Root of a Function – The point where the graph of a function intersects the x-axis indicates that the function has a root at that point, meaning f(x) = 0.
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