Question

graph the function. f(x)=√(x−1) plot four points on the graph of the function: the leftmost point and three additional points. then click on the graph - a - function button.

Explanation:

Step1: Find the leftmost point

For the function \( f(x)=\sqrt{x - 1} \), the expression under the square root must be non - negative, so \( x-1\geq0\), which means \( x\geq1 \). When \( x = 1 \), \( f(1)=\sqrt{1 - 1}=0 \). So the leftmost point is \((1,0)\).

Step2: Find additional points (x = 2)

Substitute \( x = 2 \) into the function: \( f(2)=\sqrt{2 - 1}=\sqrt{1}=1 \). So the point is \((2,1)\).

Step3: Find additional points (x = 5)

Substitute \( x = 5 \) into the function: \( f(5)=\sqrt{5 - 1}=\sqrt{4}=2 \). So the point is \((5,2)\).

Step4: Find additional points (x = 10)

Substitute \( x = 10 \) into the function: \( f(10)=\sqrt{10 - 1}=\sqrt{9}=3 \). So the point is \((10,3)\).

Answer:

The four points are \((1,0)\), \((2,1)\), \((5,2)\), \((10,3)\) (you can plot these points on the given graph to graph the function \( f(x)=\sqrt{x - 1} \))