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inessss [21]
3 years ago
5

Where does the function f have a zero? (more than one can apply)

Mathematics
1 answer:
alekssr [168]3 years ago
3 0
Answers: 
Choice A(-2,-1)
Choice B(-1,0)
Choice E(2,3)

--------------------------------

Explanation:

The idea is to look for sign changes in f(x). Recall that y = f(x). If the sign of y changes, then y = 0 must be somewhere in the interval if we are to have a continuous function.

The sign changes happen when we go from...
y = -9 to y = +8 (row 2 to row 3)
y = +8 to y = -5 (row 3 to row 4)
y = -1 to y = +196 (bottom two rows)

Those three sign changes correspond to the following interval notations for x
(-2,-1)
(0,1)
(2,3)
in that exact order

Meaning for instance, that a root must be somewhere in the interval -2 < x < -1 since we have a sign change when we transition from f(-2) to f(-1)

So that's why the answers are choices A, B, & E

Something like the interval notation (1,2) will not work because y = -18 does not change sign to y = -1, which is why D is not an answer. Choice C is similar. 

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PLZ HELP ANSWER BY TODAY
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X = 29

Explanation:

Rigt angle means 90°

Here 2x + 32 = 90

so, 2x = 90 - 32

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x = 58÷2

x = 29

7 0
3 years ago
The total employment for police officers in 2006 was 648,000. If there are 719,000 police officers in 2016, what will the percen
Lubov Fominskaja [6]
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Julli [10]
First divide 3.7 by 0.006
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