If you are given the graph of g (x) = log Subscript 2 Baseline x, how could you graph f (x) = log Subscript 2 Baseline x + 5?
2 answers:
<h3>Answer: Shift the graph of g(x) up 5 units</h3>
Reasoning:
We see that f(x) = g(x)+5. Whatever the output of g(x) is, we add on 5 to get the output of f(x). The input is x, while the output is y. Adding 5 to the y output is what shifts every point on g(x) up 5 units to move the entire curve up 5 units.
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Let's see.
We have function . We have to determine if the function is even or odd or neither.
We can find this out in many ways but the assignment specifically asks to prove this algebraically.
Function is even if , so,
Which is true since negative raised to an even power is positive to that same number.
Similarly, function is odd if , that is,
.
So we have prooved that function is an even function not an odd function and therefore also not neither.
Hope this helps.