Question

Find the domain of  y = 5x^2 – 14x – 10.

Answer 1

The equation is y = 5x ^2 - 14x - 10.

The above equation represents the parabola.

We know that the parabola like curve.

The parabola giving us all real numbers is the domain, means, domain is (-∞,∞).

Therefore, domain of the given equation is (-∞,∞).

Answer 2

The function is y = 5x² - 14x - 10.

Definition

Domain: The domain of a function is the set of all possible input values (often the "x" variable), which produce a valid output from a particular function. It is the set of all real numbers for which a function is mathematically defined.

Definition

Range: The range is the set of all possible output values (usually the variable y, or sometimes expressed as f(x)), which result from using a particular function.

Domain of a function f(x) is set of those values of x which will make the function mathematically legal or correct..certain operations like division by zero , square root of a negative number do not exist in real maths.

1. Domain excludes x - values that result in division by zero.

2. Domain excludes x - values that result in even roots of negative numbers.

The function y = 5x² - 14x - 10 is a quadratic function or parabola function.There are no rational or radical expressions, so there is nothing that will restrict the domain. Any real number can be used for x to get a meaningful output.

The domain of y = 5x² - 14x - 10 is all real numbers.