The graph of g(x), shown below in pink, has the same shape as the graph of
1 answer:
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After the value of y is 4 does the exponential function definitely surpasses the linear function.
What is exponential function?
A function whose value is a constant raised to the power of the argument, especially the function where the constant is e.
Given
Use the graphing calculator to graph these functions: y1= 2x ; y2= 2x2 ; y3 = 2x.
As we can see y1=2x is a linear function and y3=2^x is a exponential function.
The graphs of y1 and y3 meet at 2 points i.e. at (1,2) and (2,4)
When you graph the equations their point of intersection is (2,4).
Therefore, when y > 4, the exponential function surpasses the linear function.
To know more about linear function click the link given below.
Answer:
Isosceles
Step-by-step explanation:
In order to figure what type of triangle this is out, we need to start by plotting the given points. That will help us visualize the triangle better and see if our conclusions make sense. (See attached picture).
Once we got the triangle, the strategy to follow is to use the distance between two points formula to see what the measurement of each side of the triangle is. This will help us determine if 2, 3 or none of the sides of the tirangle are the same.
The distance formula is the following:
so now we can find the desired distances, let's start with the distance between P and Q:
which yields:
next, let's find the distance between P and R:
which yields:
and finally the distance between Q and R:
which yields:
As you may see from the result, only two of the three sides are the same, |PQ| and |PR|, so this will be an Isosceles triangle.
