Question

drag the points to create a graph that satisfies the following requirements: domain: $1 leq x leq 3$ range: $2 leq y leq 7$

Explanation:

Step1: Identify domain bounds

The domain restricts $x$ to $1 \leq x \leq 3$, so the leftmost point has $x=1$, rightmost has $x=3$.

Step2: Identify range bounds

The range restricts $y$ to $2 \leq y \leq 7$, so the lowest point has $y=2$, highest has $y=7$.

Step3: Plot valid points

Choose points that cover the full domain and range:

• Left endpoint: $(1, 2)$
• Right endpoint: $(3, 7)$
• Add a middle point (e.g., $(2, 4.5)$) to form a continuous graph, ensuring all $x$ values between 1 and 3 are included, and all $y$ values between 2 and 7 are covered by the graph's curve.

Answer:

Create a graph with points such as $(1, 2)$, $(2, 4.5)$, and $(3, 7)$ (or any continuous curve where $x$ spans from 1 to 3 and $y$ spans from 2 to 7, with the leftmost $x$-value 1, rightmost $x$-value 3, lowest $y$-value 2, and highest $y$-value 7).