Introduction to Functions: Vocabulary
Given the function $L(S)=c$, which of the following statements are true? Check all that are correct.
$L$ is the name of the function, $c$ is the independent variable and $S$ is the dependent variable.
$\mathrm{L}$ is the name of the function, $\mathrm{S}$ is the input variable, and $\mathrm{c}$ is the output variable.
$L$ is the name of the function, $S$ is the independent variable and $c$ is the dependent variable.
$c$ is the name of the function, $S$ is the dependent variable and $L$ is the independent variable
$c$ is the name of the function, $S$ is the input variable, and $L$ is the output variable.
$\mathrm{C}$ is the name of the function, $\mathrm{L}$ is the dependent variable and $\mathrm{S}$ is the independent variable
$L$ is the name of the function, $c$ is the input varisble, and $S$ is the output variable.
$\mathrm{c}$ is the name of the function, $\mathrm{c}$ is the dependent Variable, and $\mathrm{S}$ is the Independent Variable.
Answer
\(\boxed{\text{The correct statements are: } L \text{ is the name of the function, } S \text{ is the input variable, and } c \text{ is the output variable and } L \text{ is the name of the function, } S \text{ is the independent variable and } c \text{ is the dependent variable.}}\)
Step 1 ：The function is given as $L(S)=c$.
Step 2 ：In a function, the name of the function is the letter before the parentheses, the input variable (also known as independent variable) is the letter inside the parentheses, and the output variable (also known as dependent variable) is the letter on the other side of the equation.
Step 3 ：Therefore, in this function, $L$ is the name of the function, $S$ is the input variable, and $c$ is the output variable.
Step 4 ：So, the correct statements are: $L$ is the name of the function, $S$ is the input variable, and $c$ is the output variable and $L$ is the name of the function, $S$ is the independent variable and $c$ is the dependent variable.
Step 5 ：\(\boxed{\text{The correct statements are: } L \text{ is the name of the function, } S \text{ is the input variable, and } c \text{ is the output variable and } L \text{ is the name of the function, } S \text{ is the independent variable and } c \text{ is the dependent variable.}}\)
