Answer:
Any [a,b] that does NOT include the x-value 3 in it.
Either an [a,b] entirely to the left of 3, or
an [a,b] entirely to the right of 3
Step-by-step explanation:
The intermediate value theorem requires for the function for which the intermediate value is calculated, to be continuous in a closed interval [a,b]. Therefore, for the graph of the function shown in your problem, the intermediate value theorem will apply as long as the interval [a,b] does NOT contain "3", which is the x-value where the function shows a discontinuity.
Then any [a,b] entirely to the left of 3 (that is any [a,b] where b < 3; or on the other hand any [a,b] completely to the right of 3 (that is any [a,b} where a > 3, will be fine for the intermediate value theorem to apply.
The exact answer is 123.592105263
Hope This Helps You!
Good Luck Studying :)
Answer:
x-intercept: (-5,0)
y-intercept: (0,3)
Step-by-step explanation:
y-intercept: when x = 0
-3(0) + 5y = 15
5y = 15
y = 3
x-intercept: when y = 0
-3x + 5(0) = 15
-3x = 15
x = -5
