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N76 [4]
4 years ago
6

Which equations represent functions?

Mathematics
2 answers:
Alla [95]4 years ago
7 0
A is not a function. It is a sideways parabola.
B is a function. It is a line.
C is not a function
D is a function. It is a parabola.
ANSWER: B & D
garik1379 [7]4 years ago
4 0
Hello,
B, C, and D are the correct answers. Option D is the parent function of a parabola which is a function (it passes the vertical line test). Option C is also a parabola (shifted a unit to the right) and Option B is a linear graph which is a function. Option A doesn't pass the vertical line test and therefore isn't a function. I attached an image in case you weren't sure what the vertical line test is. Hope this helps!

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We move all terms to the left:
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We add all the numbers together, and all the variables
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a = -1; b = 105; c = -2600;
Δ = b2-4ac
Δ = 1052-4·(-1)·(-2600)
Δ = 625
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
<span><span>x1</span>=<span><span>−b−<span>Δ√</span></span><span>2a</span></span></span><span><span>x2</span>=<span><span>−b+<span>Δ√</span></span><span>2a</span></span></span>
<span><span>Δ<span>−−</span>√</span>=<span>625<span>−−−</span>√</span>=25</span> <span><span>x1</span>=<span><span>−b−<span>Δ√</span></span><span>2a</span></span>=<span><span>−(105)−25</span><span>2∗−1</span></span>=<span><span>−130</span><span>−2</span></span>=+65</span> <span><span><span>x2</span>=<span><span>−b+<span>Δ√</span></span><span>2a</span></span>=<span><span>−(105)+25</span><span>2∗−1</span></span>=<span><span>−80</span><span>−2</span></span>=+40</span></span>
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