Consider this system of equations, where function f is quadratic and function g is linear: y = f(x) y = g(x) Which statement describes the number of possible solutions to the system? A. The system may have 1 or 2 solutions. B. The system may have no, 1, 2, or infinite solutions. C. The system may have no, 1, or 2 solutions. D. The system may have no, 1, or infinite solutions.

When f(x) is the quadratic function and g(x) is linear function then the number of solution can be possible by the system y=f(x) and y=g(x) is option (C) The system may have no, 1, or 2 solutions

What is quadratic function?

A quadratic function is a polynomial function with one or more variables in which the highest exponent of the variable is two

What is linear function?

Linear functions are those whose graph is a straight line

Given,

f(x) is a quadratic function and g(x) is linear function

y=f(x)

y=g(x)

A line and a parabola can intersect zero, one, or two times

Therefore,

a linear and quadratic system can have zero, one, or two solutions

Hence, the correct answer is option C The system may have no, 1, or 2 solutions

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