Questions: f(x)=x (Choose one) f(x)=1 f(x)=x f(x)=x^2 f(x)=x^3 f(x)=√x f(x)=x f(x)=1

Transcript text: \[ f(x)=x \] \[ \begin{array}{l} \text { (Choose one) } \\ f(x)=1 \\ f(x)=x \\ f(x)=x^{2} \\ f(x)=x^{3} \\ f(x)=\sqrt{x} \\ f(x)=|x| \\ f(x)=1 \end{array} \]

Solution

Solution Steps

Step 1: Identify the Function for Graph (a)

The graph in (a) is a horizontal line at y = 1.
This corresponds to the function \( f(x) = 1 \).

Step 2: Identify the Function for Graph (b)

The graph in (b) is a straight line passing through the origin with a slope of 1.
This corresponds to the function \( f(x) = x \).

Step 3: Identify the Function for Graph (c)

The graph in (c) is a parabola opening upwards with its vertex at the origin.
This corresponds to the function \( f(x) = x^2 \).

Final Answer

(a) \( f(x) = 1 \)
(b) \( f(x) = x \)
(c) \( f(x) = x^2 \)

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