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weqwewe [10]
2 years ago
11

Use the given graph to determine the limit, if it exists. (4 points)

Mathematics
1 answer:
Inessa [10]2 years ago
4 0

Limit of x approaches two from the left of f of x: 3. Limit of x approaches two from the right of f of x: - 1 (negative 1)

<h3>How to find the value of the function as x approaches infinity (+ve or -ve)?</h3>

If limits exist, we can take limits of the function, where x tends to -∞ or ∞, and that limiting value will be the value the function will approach.

In order to find the limit as x approaches two from the left of f of x:

Lim x→2- f(x) = ?

According to the graph, when x approaches two from the left (x<2), the function approaches 3:

Lim x→2- f(x) = 3

IN order to find the limit as x approaches two from the right of f of x:

Lim x→2+ f(x) = ?

According to the graph, when x approaches two from the right (x>3), the function approaches -1:

Lim x→2+ f(x) = - 1

Learn more about one-sided limits here:

brainly.com/question/23625942

#SPJ1

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The table below represents a linear function f(x) and the equation represents a function g(x):
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Part A: The slope of f(x) is three times as great as the slope of g(x).

Part B: The y-intercept of g(x) is 12 larger than the y-intercept of f(x).

In order to find these two answers, you need to find a model for f(x). You can do that by first finding the slope. The formula is below.

slope (m) = (y2 - y1)/(x2 - x1)

In this equation (x1, y1) is the first point and (x2, y2) is a second point. For this purpose, we'll pick (1, 0) and (0, -6)

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m = -6/-1

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Now we know that the slope is 6, which is 3 times as great as the first slope. Now to find the y-intercept, we can use either point and the slope in slope intercept form.

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So we know the y-intercept is -6, which is 12 less than the y-intercept of g(x).

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3 years ago
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