QuestionFind the zeros of the function using the square root method. What are the -intercepts?
Studdy Solution
STEP 1
Assumptions1. The given function is a quadratic function
. We are asked to find the zeros of the function using the square root method3. We are also asked to find the -intercepts of the graph of the function4. The zeros of a function are the -values for which
5. The -intercepts of a graph are the points where the graph intersects the -axis, which are also the zeros of the function
STEP 2
First, we need to set the function equal to zero to find the zeros of the function.
STEP 3
Next, we need to isolate the term on one side of the equation.
STEP 4
Now, we can use the square root method to solve for . This involves taking the square root of both sides of the equation. Remember that when we take the square root of a number, we get two solutions one positive and one negative.
STEP 5
implify the square root of45. The square root of45 can be simplified to because45 is equal to and the square root of9 is3.
STEP 6
Now that we have the zeros of the function, we can find the -intercepts of the graph of the function. The -intercepts are the points where the graph intersects the -axis, which are also the zeros of the function. Therefore, the -intercepts are the same as the zeros.
The zeros and the -intercepts of the function are the same. They are .
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