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in the attached diagram a sketch of the function () = −4 = 2i) Sketch all the following on the attached diagram, ensuring that you distinguish between your answers.a) () + 2b) (− )c) 2()ii) What type of function is this, explain your answer clearly.

In The Attached Diagram A Sketch Of The Function 4 2i Sketch All The Following On The Attached Diagram Ensuring That You Distinguish Between Your Answersa 2b C class=

Sagot :

Answer:

i) Graph

ii) Exponential function

Explanation:

First, we can see that there is only one function that is in the opposite direction. It is decreasing when the others are increasing. It means that this function is f(-x). This is because f(-x) is a reflection over the y-axis of f(x). So, we can identify f(-x) and f(x) because they are the functions that cross in the y-axis.

Then, knowing which one is f(x), f(x) + 2 will be the same function but 2 units up. So, if f(x) pass through (0, 1), f(x) + 2 will pass throug (0, 3) because it is located 2 units up because

1 + 2 = 3

In the same way, 2f(x), makes double the y-coordinate, so if f(x) pass through (0, 1), 2f(x) will pass through (0, 2) because

2(1) = 2

As a review, we know that

If we have f(x) + c, we move c units up.

If we have f(x) - c, we move c units down

If we have f(x - c), we move c units to the right

If we have f(x + c), we move c units to the left

Finally, we can identify each diagram as follows

Finally, this function is an exponential function because it is increasing and have this curve path.

View image NajeebX189005
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