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Softa [21]
3 years ago
6

Which is the graph of an odd monomial function?

Mathematics
2 answers:
Diano4ka-milaya [45]3 years ago
7 0

Answer: C

3rd graph

Step-by-step explanation:

malfutka [58]3 years ago
3 0
In order for a function to be odd, we know that f(-x) = -f(x)
Hence, the only graphs that are odd are the cubics.

Now, a monomial is defined as an equation with only one term in it. Since the first two is shifted, they must consist of at least 2 terms.

Hence, the only viable answer is the third graph.
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irga5000 [103]

Answer:

B. ΔABD, ΔADC, ΔDBC

Step-by-step explanation

Step -1 In ΔABD and ΔADC (from figure).

∠DAB=∠CAD (common in both triangles) ,

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∠BDA=∠DCA (rest angle of the two triangles).

therefore ΔABD similar to ΔADC (by AAA similarity theorem).

Step -2 In ΔDBC and ΔADC (from figure).

∠DCB=∠ACD (common in both triangles) ,

∠DBC=∠ADC =90 degree, and

∠CDB=∠CAD (rest angle of the two triangles).

therefore ΔDBC similar to ΔADC (by AAA similarity theorem).

Step -3 In ΔABD and ΔDBC (from figure).

∠BDA=∠BCD (because , ∠ACD=ADB from stap-1 and ∠ACD=∠BCD from figure) ,

∠DBA=∠CBD =90 degree, and

∠BAC=∠BDC (rest angle of the two triangles).

therefore ΔABD similar to ΔDBC (by AAA similarity theorem).

In the above step- ΔABD similar to ΔADC, ΔDBC similar to ΔADC and ΔABD similar to ΔDBC.

Hence ΔABD, ΔADC, ΔDBC similar to each other in the given figure.

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