Question

13
the functions f(x) and g(x) are graphed below. (a.fgr.9.5)
describe the domain where the function f(x) is greater than g(x).
a $x > 10$
b $10 \leq x \leq 30$
c $0 \leq x < 10$
d $x > 30$

Explanation:

Step1: Identify intersection point

The graphs intersect at $x=10$.

Step2: Compare f(x) and g(x) for x > 10

For $x > 10$, the graph of $f(x)$ lies below $g(x)$, so $f(x) < g(x)$.

Step3: Compare f(x) and g(x) for x < 10

For $0 \leq x < 10$, the graph of $f(x)$ lies above $g(x)$, so $f(x) > g(x)$.

Step4: Check endpoint at x=0

At $x=0$, $f(x)$ has a closed point, so $x=0$ is included. At $x=10$, $f(x)=g(x)$, so $x=10$ is not included in the domain where $f(x) > g(x)$.

Answer:

C. $0 \leq x < 10$