# Function f(x) is a continuous function defined for all real values of x, such that f(x) = 0 only for two distinct real values of x

October 7, 2023 2023-10-08 4:17## Function f(x) is a continuous function defined for all real values of x, such that f(x) = 0 only for two distinct real values of x

# Function f(x) is a continuous function defined for all real values of x, such that f(x) = 0 only for two distinct real values of x

**Let’s Practice Best Questions of Functions and Quant**

**Function f(x) is a continuous function defined for all real values of x, such that f(x) = 0 only for two distinct real values of x. It is also known that**

- f(6) + f(8) = 0
- f(7).f(9) > 0
- f(6).f(10) < 0
- f(0) > 0 and
- f(1) < 0

How many of the following statements must be true?

I. f(1).f(2).f(3) < 0

II. f(3).f(5).f(7).f(9) > 0

III. f(7).f(8) < 0

IV. f(0) + f(1) + f(9) + f(10) > 0

(a) 1 ( b) 2 (c) 3 (d) 4

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