Question

algebra 2 final exam review 2024 | quizizz

1. what is the domain of the function?

y = 2√(x + 2)
graph of the function
a) all real numbers greater than or equal to 0
b) all real numbers.
c) all real numbers greater than or equal to 0 and less than 7
d) all real numbers greater than or equal to -2

1. graph of the function

what is the domain of the function graphed below?
a) all real numbers greater than or equal to 2
b) all real numbers greater than or equal to 0
c) all real numbers less than or equal to 2
d) real numbers greater than or equal to 0 and less than 2

Explanation:

Step1: Analyze function 20's domain

The function is $y=2\sqrt{x+2}$. The radicand $x+2$ must be non-negative: $x+2\geq0 \implies x\geq-2$.

Step2: Analyze graph 21's domain

The graph starts at $x=2$ and extends right. So domain is $x\geq2$.

Answer:

1. d) All real numbers greater than or equal to -2
2. a) all real numbers greater than or equal to 2