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Mathematics

Grade-8

Easy

Question

Which of the following functions is NOT linear?

f(x) = x + 0.5
f(x) = – x + 0.5
f(x) = x² + 0.5
f(x) = 0.5x

hint Hint:

Nonlinear function is a function whose graph is NOT a straight line. Its graph can be any curve other than a straight line. A linear function is of the form f(x) = ax + b. Since a nonlinear function is a function that is not a linear, its equation can be anything that is NOT of the form f(x) = ax+b.

The correct answer is: f(x) = x² + 0.5

In linear equations, none of the variables is of the second power or higher, and they can be put into the form of y = mx + b.
a) f(x) = -x+0.5 and it is of the form f(x) = ax + b. Hence, it is a linear function.
(b) f(x) = 0.5x and it can be written as f(x) = 0.5x + 0 and it is of the form f(x) = ax + b. Hence, it is a linear function.
(c) f(x) = x²+0.5 is nonlinear as it is a quadratic function.
(d) f(x) = x+0.5 and it is of the form f(x) = ax + b. Hence, it is a linear function.

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