Answer:
Step-by-step explanation:
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It should be noted that the expression that can be used to identify the x-values for which f(x)>-2 will be -2 <= x <= 2. This is illustrated in the graph.
<h3>How to explain the information?</h3>
It should be noted that a graph is a diagram that is used to show the relationship that exists between the data presented or the information.
In this case, ut should be noted that the expression that can be used to identify the x-values for which f(x)>-2 will be -2 <= x <= 2. This is illustrated in the graph.
The graph is attached below.
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To make it easier say the number out loud. 26.2. Twenty six and two tenths. You could also say twenty six point two but the first way to say it makes it easier to write on paper though.
Twenty six and two tenths can also be reduced to twenty six and one fifth.
The function is
.
To the left of 1 the function is a quadratic polynomial, to the right, it is a linear polynomial. Polynomial functions are always continuous, so the only candidate point for discontinuity is x=1.
The left limit is calculated with 1 substituted in
, which gives 5.
The right limit, is computed using the rule for the right part of 1, that is x+4.
Thus, the right limit is 1+4=5.
So, both left and right limits are equal. Now if f(1) is 5, then the function is continuous at 1.
But the function is not defined for x=1, that is x=1 is not in the domain of the function. Thus, we have a "whole" (a discontinuity) in the graph of the function.
The reason is now clear:
Answer:<span> f(1) is not defined</span>
Answer:
542 miles
Step-by-step explanation:
St. Paul to Madison, Wisconsin = 260 miles
St Paul to Bismarck, North Dakota = 437 miles
4 round trips to Madison = 4 * 2 * 260 = 2080 miles
3 round trips to Bismarck = 3 * 2 * 437 = 2622 miles
Difference in miles traveled :
2622 miles - 2080 miles = 542 miles