Question

f(0) = 0

and we check the value of f at the right endpoint of the interval 0,8:

f( ) =

the intermediate value theorem guarantees a solution to f(x) = 37 in the interval (0,8) because
f( ) \le \le f( )

Explanation:

Step1: Find the left endpoint value

Observe the first graph at \(x = 0\).

$$f(0) = 0$$

Step2: Find the right endpoint value

Observe the second graph at \(x = 8\).

$$f(8) = 64$$

Step3: Apply the Intermediate Value Theorem

Set up the inequality for \(f(x) = 37\).

$$f(0) \le 37 \le f(8)$$

Answer:

First image section:
\(f(0) = 0\)

Second image section:
\(f(8) = 64\)

Third image section:
\(f(0) \le 37 \le f(8)\)