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ddd [48]
3 years ago
11

Given the parent function f(x) = 2^x, which graph shows f(x) + 1?

Mathematics
1 answer:
mixer [17]3 years ago
4 0

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:

f(x) = 2^x

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 y = f(x) +1 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 y =2^x +1

Finally the answer is the first option

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