I need help with #14 & #15 quickly!
1 answer:
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Answer: First Option
a) exponential function going through point (0, 2) and ending up on the right
Step-by-step explanation:
Look at the attached image, the red line represents a function of the form:
Note that this function cuts to the axis and at the point (0, 1)
Also when x tends to ∞ f(x) tends to ∞ and when f(x) tends to -∞ then f(x) tends to zero.
If we perform the transformation then the graph of y is equal to the graph of f(x) displaced 1 unit up. Then the new cutting point with the axis y will be: (0, 2) as shown in the attached image (blue line)
The transform function is
Finally the answer is the first option
Given:
The limit problem is:
To find:
The limit of the function by using direct substitution.
Solution:
We have,
Applying limit, we get
Therefore, the correct option is D.