Which interval contains a local minimum for the graphed
function?
of-4, -2,51
o [-2, -1]
o [1, 2]
o [2.5, 4]

The interval which contains the local minimum is [2.5 , 4] ⇒ last answer

Step-by-step explanation:

"I have added screenshot of the complete question as well as the diagram"

- From the graph of the function there are two local minimum points

- Point (-0.44 , -4.3) and point (3 , -4)

- At the the minimum local points the differentiation of the function

  equal to zero

- If the the name of the function on the graph is h(x)

∵ h'(x) = 0 gives two values of x, one of them is -0.44 and the other is 3

∴ h'(-0.44) = 0

∴ h'(3) = 0

- The interval which contains the local minimum must has on of

  these two values -0.44 and 3

∵ x = -0.44 is between -1 and 0

∴ The interval [-4 , -2.5] does not contain local minimum

∴ The interval [-2 , -1] does not contain the local minimum

∵ x = 3 is between 2 and 4

∴ The interval [1 , 2] does not contain the local minimum

∴ The interval [2.5 , 4] contains the local minimum

* The interval which contains the local minimum is [2.5 , 4]

2/3

step-by-step explanation:

the slope of a line is equal to the rise/run. in this case the line rises 2 units for every +3 units it moves