mkyork
contestada

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

Respuesta :

ustsr

The domain of the function is A) All real numbers

[tex]\texttt{ }[/tex]

Further explanation

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

D = b² - 4 a c

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

[tex]\texttt{ }[/tex]

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

[tex]\large {\boxed {x = \frac{-b}{2a} } }[/tex]

Let us now tackle the problem!

[tex]\texttt{ }[/tex]

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

[tex]\texttt{ }[/tex]

Learn more

  • Solving Quadratic Equations by Factoring : https://brainly.com/question/12182022
  • Determine the Discriminant : https://brainly.com/question/4600943
  • Formula of Quadratic Equations : https://brainly.com/question/3776858

Answer details

Grade: High School

Subject: Mathematics

Chapter: Quadratic Equations

Keywords: Quadratic , Equation , Discriminant , Real , Number

Ver imagen ustsr

Answer:

all real numbers

Step-by-step explanation: