How does the graph of f(x) = |x| compare with the graph of g(x) = −2|x|? Select all that apply.
1 answer:
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Answer:
<h2>76</h2>Step-by-step explanation:
<h3>to understand this</h3><h3>you need to know about:</h3>- triangles
- equation
- PEMDAS
- this is an isosceles triangle since two sides are equal therefore
- a triangle contains 180°
according to the question
2x+2+2x+2+3x+1=180
solve:
- collect like terms:7x+5=180
- substract 5 from both sides:=>7x+5-5=180-5=>7x=175
- divide both sides by 7: =>7x/7=175/7
- x=25
given:
M∠R=3x+1
substitute the value of x
3×25+1
75+1
76
Answers:
- Domain is (-4, 3]
- Range is (-5, 5]
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Explanation:
The domain is the set of allowed x input values, aka the set of all allowed x coordinates of the points. We see that . It might help to draw vertical lines through the endpoints until you reach the x axis. Note the open hole at x = -4 to indicate we do not include this as part of the domain (hence the lack of "or equal to" for the first inequality sign).
The interval then can be condensed into the shorthand form (-4, 3] which is the domain in interval notation.
It says: x is between -4 and 3. It can't equal -4 but it can equal 3.
So the use of parenthesis versus square brackets tells the reader which endpoint is included or not.
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The range describes all possible y outputs. We see that y = 5 is the largest it gets and y = -5 is the lower bound. It might help to draw horizontal lines through the endpoints until you reach the y axis. The open hole means -5 is not part of the range.
The range as a compound inequality is . This condenses into the shorthand of (-5, 5] which is the range in interval notation.
Verbally, the range is the set of y values such that y is between -5 and 5. It can't equal -5 but it can equal 5.