Which of the following functions are continuous for all real numbers? h(x)=sin(x) f(x)=cos(x) Choose 1 answer: (A) h only (B) f only (C) Both h and f (D) Neither h nor f

Analyze sine function: Analyze the function h(x) = sin(x). The sine function is known to be continuous for all real numbers because it is a periodic function with no breaks, jumps, or points of discontinuity.Analyze cosine function: Analyze the function f(x) = cos(x). Similarly, the cosine function is also continuous for all real numbers. It is also a periodic function with no breaks, jumps, or points of discontinuity.Determine continuity for functions: Determine which of the given functions are continuous for all real numbers. Since both h(x) = sin(x) and f(x) = cos(x) are continuous for all real numbers, the correct choice is (C) Both h and f.

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Which of the following functions are continuous for all real numbers?

h(x)=sin(x)

f(x)=cos(x)
Choose 1 answer:
(A)
h only
(B)
f only
(C) Both
h and
f
(D) Neither
h nor
f

Which of the following functions are continuous for all real numbers? $\newline$ $h(x)=\sin (x)$ $\newline$ $f(x)=\cos (x)$ $\newline$ Choose $1$ answer: $\newline$ (A) $h$ only $\newline$ (B) $f$ only $\newline$ (C) Both $h$ and $f$ $\newline$ (D) Neither $h$ nor $f$

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Algebra 1

Domain and range of square root functions: equations

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Q. Which of the following functions are continuous for all real numbers?

\newline

h(x)=\sin (x)

\newline

f(x)=\cos (x)

\newline

Choose

1

answer:

\newline

(A)

h

only

\newline

(B)

f

only

\newline

h

and

f

\newline

(D) Neither

h

nor

f

Analyze sine function: Analyze the function $h(x) = \sin(x)$ . The sine function is known to be continuous for all real numbers because it is a periodic function with no breaks, jumps, or points of discontinuity.
Analyze cosine function: Analyze the function $f(x) = \cos(x)$ . Similarly, the cosine function is also continuous for all real numbers. It is also a periodic function with no breaks, jumps, or points of discontinuity.
Determine continuity for functions: Determine which of the given functions are continuous for all real numbers. $\newline$ Since both $h(x) = \sin(x)$ and $f(x) = \cos(x)$ are continuous for all real numbers, the correct choice is (C) Both $h$ and $f$ .