Answer:
The unit rate is accurately (km/minute)
Step-by-step explanation:
(1,1/4) means that the vehicle traveled 1/4 km within 1 minute.
The unit rate for this problem is also known as the speed of the vehicle.
So to find the speed, you need to use distance over time.
---> Unit rate: / 1 =
(km/minute)
(2,1/2) means that the vehicle traveled 1/2 km within 2 minutes.
Same process:
---> Unit rate: / 2 =
Because of this, the unit rate is accurately (km/minute)
The statement that is true about the function is D. it is discontinuous and non-differentiable at x = 3.
<h3>How to determine which statement is true?</h3>To determine which statement is true, we need to know the conditions for continuity and differentiablity of a function.
<h3>Conditions for continuity and differentiablity of a function.</h3>
So, since f(x) = {x² - 1 if -1 ≤ x ≤ 3 and x²/3 if 3 < x ≤ 8}
From the equality on the first condition,we see that f(x) is exists at x = 3 but is not continuous since f(x) changes to another function when x > 3. So,left hand limit of f(x) and the right hand limit of f(x) as x → 3 are not equal.
That is . Thus, the function is discontinuous at x = 3.
For differentiability, both conditions must be met. Since only one condition is met, it is non-differentiable.
So, the function is discontinuous and non-differentiable at x = 3.
So, the statement that is true about the function is D. it is discontinuous and non-differentiable at x = 3.
Learn more about continuity of a function here:
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