Are Quadratic Functions Continuous?

A function f( x) is said to be continuous at a point ( c, f( c)) if each of the following conditions is satisfied: ... Many of our familiar functions such as linear, quadratic and other polynomial functions, rational functions, and the trigonometric functions are continuous at each point in their domain.

Which functions are continuous?

Some Typical Continuous Functions
  • Trigonometric Functions in certain periodic intervals (sin x, cos x, tan x etc.)
  • Polynomial Functions (x2 +x +1, x4 + 2…. etc.)
  • Exponential Functions (e2x, 5ex etc.)
  • Logarithmic Functions in their domain (log10x, ln x2 etc.)

Is a parabola a continuous function?

Both functions are continuous in the interval. ... The product function, a parabola, is defined over the closed interval and the function limit at each point in the interval equals the product function value at each point. The product function is continuous in the interval.

Robert Thorne

Robert Thorne

Automotive & Future Transportation Editor

Robert Thorne covers electric vehicle innovations, autonomous driving systems, global mobility trends, and automotive engineering developments.