Maths
Grade-10
Easy
Question
Write a function for the graph.
- f(x) = -0.5Ix – 4I – 5
- f(x) = Ix – 4I + 5
- f(x) = Ix + 4I – 5
- f(x) = 3Ix – 4I + 5
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) = -0.5Ix – 4I – 5
We have to find the equation of the given graph.
We have, Vertex of the graph is (4, -5).
Then, h = 4, k = -5.
So, y = a I(x – h)I + k
=> y = a I(x – 4)I – 5.
The graph also passes through (0, -7).
So, -7 = a I0 – 4I – 5
=> 4a = -7+5
=> a = (-2) ÷ (4)
=> a = -0.5.
Thus, f(x) = -0.5Ix – 4I – 5.
Hence, the correct option is A.
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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