The function f is given by f(x)= (x-2) (x+4) . Without using graphing technology, answer the following questions.

Mathematics

1 answer:

Mrrafil [7]3 years ago

7 0

Answer:

Step-by-step explanation:

1. What are the x-intercepts of the graph representing f? They are the points on the horizontal axis where the graph touches or crosses the axis. Note that on this axis, y = 0.

2. What are the x- and y-coordinates of the vertex of the graph? Since the function is written as the product of two binomials, we can take these coordinates directly from the binomials: (x - 2) yields x = 2 and (x + 4) yields x = -4.

3. What is the y-intercept? Multiply out these binomials. We get:

f(x) = x^2 + 2 - 8. When x = 0, y = -8. The y-intercept is (0, -8).

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