If the graph of a function f(x) intersects the x-axis at x = 1 and x = 3, which

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Question: If the graph of a function f(x) intersects the x-axis at x = 1 and x = 3, which of the following can be inferred?

Options:

Correct Answer: f(1) = 0 and f(3) = 0.

Solution:

If the graph intersects the x-axis at x = 1 and x = 3, it means that f(1) = 0 and f(3) = 0, indicating the roots of the function.

If the graph of a function f(x) intersects the x-axis at x = 1 and x = 3, which of the following can be inferred?

If the graph of a function f(x) intersects the x-axis at x = 1 and x = 3, which of the following can be inferred?

Step 1: Understand what it means for a graph to intersect the x-axis. This means that at those points, the value of the function is zero.
Step 2: Identify the points where the graph intersects the x-axis. In this case, the graph intersects at x = 1 and x = 3.
Step 3: Write down what it means for the function at those points. Since the graph intersects the x-axis at x = 1, we have f(1) = 0. Similarly, since it intersects at x = 3, we have f(3) = 0.
Step 4: Conclude that x = 1 and x = 3 are the roots of the function. This means these are the values of x where the function equals zero.

Roots of a Function – The points where the graph of the function intersects the x-axis, indicating the values of x for which f(x) = 0.