Use interval notation to indicate where f(x) is continuous.
f(x)= 7x^8-5x^4+4
f(x) is continuous for all values of x
It is a simple polynomial.
To determine where the function f(x) = 7x^8 - 5x^4 + 4 is continuous, we need to find the intervals where there are no disruptions or breaks in the function's graph.
Continuous functions do not have any sudden jumps, holes, or vertical asymptotes. They remain smooth and connected without any interruptions.
To find the intervals of continuity, we need to consider the points where the function may have potential discontinuities. In this case, since the function is a polynomial, it is continuous for all real numbers. Polynomials are continuous over their entire domain.
Therefore, the interval notation to indicate where f(x) is continuous is (-∞, +∞). This suggests that the function is continuous over the entire real number line.