Question

match the function with its graph. ( f(x) = x + 1 ) for ( x < 3 )

Explanation:

Step1: Find y-intercept

For $x=0$, $f(0)=0+1=1$. So the line passes through $(0,1)$.

Step2: Find endpoint at $x=3$

Since $x<3$, calculate $f(3)=3+1=4$. The endpoint at $x=3$ is an open circle at $(3,4)$.

Step3: Verify line direction

The function $f(x)=x+1$ has a slope of $1$, so the line rises from left to right.

Step4: Match to correct graph

Check which graph has a line through $(0,1)$, open circle at $(3,4)$, and rising slope.

Answer:

The correct graph is the topmost graph (first option, with closed dot at $(0,1)$, open dot at $(3,4)$, and rising line extending left from $(0,1)$).