The table below shows selected points from a function.
1 answer:
Answer:
The rate of change for the interval shown in the table is 1 , so the function is a linear function.
Step-by-step explanation:
See the table attached.
The table shows selected points from a function.
Now, the given interval is x = 1 to x = 4.
For, x = 1, f(x) = 2 and for x = 4. the function f(x) = 5.
Therefore, the rate of change for the interval shown in the table i.e slope of the line is and it is constant throughout the interval so the function is a linear function. (Answer)
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<h3>Answer: </h3>
The GCF is 4
The polynomial factors to
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Further explanation:
Ignore the x terms
We're looking for the GCF of 12, 4 and 20
Factor each to their prime factorization. It might help to do a factor tree, but this is optional.
- 12 = 2*2*3
- 4 = 2*2
- 20 = 2*2*5
Each factorization involves "2*2", which means 2*2 = 4 is the GCF here.
We can then factor like so
The distributive property pulls out that common 4. We can verify this by distributing the 4 back in, so we get the original expression back again.
The polynomial inside the parenthesis cannot be factored further. Proof of this can be found by looking at the roots and noticing that they aren't rational numbers (use the quadratic formula).