Question

practice with functions and transformations/translations/reflections sept 23 16 of 17 possible points 3 when x is squared the function is. when x is by itself the function is. when x is raised to the third power the function is. when we take a numbers distance from zero we say. the symbol \\(\sqrt{x}\\) is known as a radical symbol and means we take the. when evaluating functions for x and y the x represents the and y represents the.

Explanation:

Step1: Identify quadratic function

The function when \(x\) is squared is \(y = x^{2}\), a quadratic function.

Step2: Identify linear function

When \(x\) is by itself, it's a linear function \(y=x\).

Step3: Identify cubic function

When \(x\) is raised to the third power, \(y = x^{3}\), a cubic function.

Step4: Define absolute - value

The distance of a number from zero is given by the absolute - value function \(y=\vert x\vert\).

Step5: Define square - root function

The radical symbol \(\sqrt{x}\) gives the square - root function \(y = \sqrt{x}\).

Step6: Define input and output

In a function \(y = f(x)\), \(x\) is the input (independent variable) and \(y\) is the output (dependent variable).

Answer:

When \(x\) is squared the function is \(y = x^{2}\). When \(x\) is by itself the function is \(y=x\). When \(x\) is raised to the third - power the function is \(y = x^{3}\). When we take a number's distance from zero we say the absolute - value function \(y=\vert x\vert\). The symbol \(\sqrt{x}\) is known as a radical symbol and means we take the square root, and the function is \(y = \sqrt{x}\). When evaluating functions for \(x\) and \(y\), the \(x\) represents the input (or independent variable) and \(y\) represents the output (or dependent variable).