Anthony is rowing a boat upstream. the following equation models his speed: f(x) = 3x2 − 6x − 13, where x is the velocity of the boat relative to land. what is the domain of the function?

a)all real numbers
b)x ≥ 1
c)x ≤ −6
d)x ≥ −13

The domain of the function is A) All real numbers

Discriminant of quadratic equation ( ax² + bx + c = 0 ) could be calculated by using :

From the value of Discriminant , we know how many solutions the equation has by condition :

D < 0 → No Real Roots

D = 0 → One Real Root

D > 0 → Two Real Roots

An axis of symmetry of quadratic equation y = ax² + bx + c is :

Let us now tackle the problem!

Given:

f(x) = 3x² - 6x - 13

Asked:

Domain = ?

Solution:

Velocity is a vector quantity.

Vector quantity has magnitude and direction.

Directon of vector is represented by the sign of the quantity

If x is the velocity of the boat relative to land , then:

The value of x could be positive , negative or zero.

∴ Domain of the function is A) All real numbers

Grade: High School

Subject: Mathematics

Chapter: Quadratic Equations

Keywords: Quadratic , Equation , Discriminant , Real , Number

step-by-step explanation:

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step-by-step explanation: