Mathematics, 30.12.2019 21:31 kathrynpuppies201716

With these graph problems - you in advance! there are two!

Answers: 2

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Answer from: sydneip6174

1) B [-4, 2) ∪ (2, 5) ∪ (5, ∞)

2) D (-4, -2) ∪ (2, 4)

Step-by-step explanation:

First, you need to understand that "domain" refers to all of the x-values.

Second, you need to understand that an open dot means that the coordinate IS NOT included and a closed dot means that it IS included.

Third, you need to understand interval notation. A bracket [ ] means the value is included - closed dot. A parenthesis ( ) means the value is not included - open dot.

Note 1: If a value has both an open dot and a closed dot, the x-value is included on the graph so is represented with a bracket.

Note 2: infinity is always represented by parenthesis (because you can't actually plot that value).

Graph 1:

The first section of the graph starts at x = -4 with a closed dot (bracket) and has a continuous line to x = -2 with an open dot (parenthesis).

Graph 2:

The next section of the graph starts at x = -2 with a closed dot (bracket) and continues to x = ∞ but has open dots at x = 2 and x = 5.

Notice that x = -2 has a parenthesis in the first section of the graph and a bracket in the next section of the graph. A bracket supersedes parenthesis so x = -2 will have a bracket (refer to Note 1).

So the graph starts at -4 and ends at infinity but has open dots at 2 and 5. Interval notation will be:

[-4, 2) -4 is included (closed dot) but 2 is not included (open dot)(2, 5) neither 2 nor 5 is included (both are open dots)(5, ∞) neither 5 nor ∞ is included (5 is an open dot)

Part 2 asks when y is negative (below the x-axis).

This occurs when x > 4 (not at x = 4 because y = 0 and is not less than zero)

and between -2 and 4 (not equal to them because y = 0)

(-4, -2) (2, 4)

Answer from: Quest

3< x< 5

step-by-step explanation:

|x - 4| < 1

there are two solutions, one positive and one negative. remember to flip the inequality when taking the negative solution

x-4 < 1 x-4 > -1

add 4 to each side

x-4+4 < 1+4 x-4+4 > -1+4

x< 5 x> 3

3< x< 5

Answer from: Quest

$m< xyz=\frac{1}{2}(a-b)$

$m< xoy=b$

step-by-step explanation :

we know that

the measurement of the outer angle is the semi-difference of the arcs which comprises

in this problem

m< xzy is the outer angle

$m< xyz=\frac{1}{2}(mayor\ arc\ xy-minor\ arc\ xy)$

substitute the values

$m< xyz=\frac{1}{2}(a-b)$

the measure of angle xoy is equal to

$m< xoy=minor\ arc\ xy$ > by central angle

substitute the value

$m< xoy=b$

Which equation is correct regarding the diagram of circle o? a) m∠xzy = (a + b)b) m∠xzy = (a – b)c)

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