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If f(x) = x^2 - 4, what are the x-intercepts?
If f(x) = x^2 - 4, what are the x-intercepts?
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Practice Questions
1 question
Q1
If f(x) = x^2 - 4, what are the x-intercepts?
-2, 2
0, 4
2, 4
None
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To find x-intercepts, set f(x) = 0: x^2 - 4 = 0, which gives x = ±2.
Questions & Step-by-step Solutions
1 item
Q
Q: If f(x) = x^2 - 4, what are the x-intercepts?
Solution:
To find x-intercepts, set f(x) = 0: x^2 - 4 = 0, which gives x = ±2.
Steps: 6
Show Steps
Step 1: Understand that x-intercepts are points where the graph of the function crosses the x-axis. This happens when f(x) = 0.
Step 2: Write down the function: f(x) = x^2 - 4.
Step 3: Set the function equal to zero to find the x-intercepts: x^2 - 4 = 0.
Step 4: Solve the equation x^2 - 4 = 0. This can be done by adding 4 to both sides: x^2 = 4.
Step 5: Take the square root of both sides. Remember that taking the square root gives two solutions: x = 2 and x = -2.
Step 6: Conclude that the x-intercepts are at the points (2, 0) and (-2, 0).
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