Find the Domain h(t)=-5t^2+20t+25

Problem

h(t)=−5*t2+20*t+25

Solution

1. Identify the type of function. The given expression h(t)=−5*t2+20*t+25 is a polynomial function of degree 2, also known as a quadratic function.

2. Determine any restrictions on the variable t Polynomials do not contain any operations that restrict the input, such as division by zero (fractions with variables in the denominator) or taking the square root of a negative number.

3. Conclude the domain based on the properties of polynomials. Since there are no values of t that make the expression undefined, the function is defined for all real numbers.

Final Answer

Domain: *(−∞,∞)

Want more problems? Check here!