Question

Which interval for the graphed function has a local minimum of 0?

[–3, –2]
[–2, 0]
[1, 2]
[2, 4]

Answer 1

Answer: D. [2, 4]

Step-by-step explanation: Local maxima and minima

The graph of a function is said to have a local minimum when all the points around it have a greater value.

We can see two local minima, but we need to focus on the point (3,0) because its y-value is 0, as required in the question. We must find which interval contains the value x=3

The first three options don't contain x=3. The only valid option if

[2,4]

Answer: the interval [2,4] has a local minimum of 0 at the point (3,0)

Answer 2

The interval [2,4] has a local minimum of 0

Explanation:

Local maxima and minima

The graph of a function is said to have a local minimum when all the points around it have a greater value.

We can see two local minima, but we need to focus on the point (3,0) because its y-value is 0, as required in the question. We must find which interval contains the value x=3

The first three options don't contain x=3. The only valid option if

[2,4]

Answer: the interval [2,4] has a local minimum of 0 at the point (3,0)