Complete the function table below for the function F(x) = x2 + 1.

Mathematics

2 answers:

gladu [14]3 years ago

8 0

The answer is actually False.

VMariaS [17]3 years ago

5 0

The answer is true, and let me explain this to you like this:
F(x) = 4x - 6
when x = 1, F(x) = 4 * 1 - 6 = -2
when x = 2, F(x) = 4 * 2 - 6 = 2
when x = 3, F(x) = 4 * 3 - 6 = 6
when x = 4, F(x) = 4 * 4 - 6 = 10
second row is: -2, 2, 6, 10
differences are: 2 - (-2) = 4; 6 - 2 = 4; 10 - 6 = 4
So, the second row is in arithmetic progression.
Hope this is what you were looking for

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What is the domain and range of this function?

max2010maxim [7]

As for the domain, the only restriction comes from the logarithm. The argument of a logarith must be strictly positive, so we have

$x-2>0 \iff x>2$

As for the range, we have:

The range of $\log(x)$ are all real numbers
If we change to $\log(x-2)$ we're translating the function horizontally, so the range remains the same
If we change to $\log(5(x-2()$ we're stretching the function horizontally, so the range doesn't change
If we change to $\log(5(x-2))+1$ we're translating the function 1 unit up, but the range is already all the real numbers, so it doesn't change.