the graph of g(x) is shown. which statements describe the domain and range of g(x)? select two options. the…

the graph of g(x) is shown. which statements describe the domain and range of g(x)? select two options. the function g(x) is defined for all real numbers x. the maximum value of the range is 4. the maximum value of the domain is 3. the range of g(x) is {y|-1 < y ≤ 4}. the domain of g(x) is {x|-4 ≤ x ≤ 3}.

the graph of g(x) is shown. which statements describe the domain and range of g(x)? select two options. the function g(x) is defined for all real numbers x. the maximum value of the range is 4. the maximum value of the domain is 3. the range of g(x) is {y|-1 < y ≤ 4}. the domain of g(x) is {x|-4 ≤ x ≤ 3}.

Answer

Explanation:

Step1: Identify domain from graph

The left - most x - value is $x=-4$ and the right - most is $x = 3$. So the domain is all x values such that $-4\leq x\leq3$.

Step2: Identify range from graph

The lowest y - value is just above $y=-1$ (open - circle) and the highest is $y = 4$ (closed - circle). So the range is $-1<y\leq4$.

Answer:

The maximum value of the range is 4. The range of $g(x)$ is ${y|-1 < y\leq4}$