What type of model should be used to make a prediction from the given data?
2 answers:
Answer:
Option d. quadratic is the answer.
Step-by-step explanation:
When we plot the given points on a graph, we find that with the increase in values of x, y coordinates initially increase then decrease.
This clearly indicates to be a curve opening downwards.
A curve with its vertex as (0,0) will be represented by y = x² (Parabola).
If this curve is opening downwards that means it is y = -x²
Therefore, we can predict that the given data is of a quadratic equation.
Now we can check the graph by plotting the given points.
The given graph is representing y = -(x - 2)² + 4 which is a translated form of parent graph y = -x² (quadratic equation).
Therefore, Option d. quadratic is the answer.
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Answer:
Step-by-step explanation:
First, let's change those variables to x and y, just for the sake of convenience. In order to find the inverse of a function algebraically, switch the x and y coordinates, then solve for the new y. Letting y = A(n) and x = n (we will switch them back when we're done):
y = 3x - 20. This is linear; a line with a slope of 3 and a y-intercept of -20. When we switch the x and the y, we get:
x = 3y - 20. Now we solve for the new y. Begin by adding 20 to both sides:
x + 20 = 3y. Now divide both sides by 3:
, or to write it in slope-intercept form, like the function you started with:
This is also a line, with a slope of 1/3 and a y-intercept of +20/3
Now, replacing:
That is how to write the inverse using function notation. The little -1 as an exponent tells us that this is the inverse of the function A(n).