Maths
Grade-10
Easy
Question
One part of a dog agility course is an obstacle called an A-frame. Assume that the left corner of the A-frame corresponds to the point (0, 0). What function that includes an absolute value expression could you use to model the obstacle?
- f(x) = -2Ix – 6I + 10
- f(x) = Ix – 5I + 6
- f(x) = (-5/6)Ix – 5I + 6
- f(x) = (-6/5)Ix – 5I + 6
Hint:
A function is defined as a relation between a set of inputs having one output each. In simple words, a function is a relationship between inputs where each input is related to exactly one output.
The correct answer is: f(x) = (-6/5)Ix – 5I + 6
We have to find the equation of the model.
We have, Vertex of the graph is (5, 6).
We know, f(x) = a I(x – h)I + k
h = 5, k = 6.
Then, y = a I(x – 5)I + 6.
This graph passes through (0, 0).
So, 0 = aI0 – 5I + 6
=> 5a = 0-6
=> a = -6/5.
Thus, Function: f(x) = (-6/5) I(x – 5)I + 6.
Hence, the correct option is D.
A function is generally denoted by f(x) where x is the input. The general representation of a function is y = f(x).
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