Question

what is the value of k(10), as defined by the piecewise function below? k(x) = \

$$\begin{cases} -1 & , x < 10 \\\\ 1 & , x \\geq 10 \\end{cases}$$

show your thinking -1 0 1 undefined

Explanation:

Step1: Determine the condition for x=10

We need to find \( K(10) \). Looking at the piecewise function, we check which condition \( x = 10 \) satisfies. The function has two parts: one for \( x < 10 \) and one for \( x \geq 10 \). Since \( 10 \geq 10 \), we use the second part of the piecewise function.

Step2: Evaluate the function at x=10

The second part of the piecewise function is \( K(x)=1 \) when \( x \geq 10 \). So when \( x = 10 \), we substitute into this part, and we get \( K(10)=1 \).

Answer:

1