Determine whether the statement is true or false. if f '(x) > 0 for 6 < x < 10, then f is increasing on (6, 10).

The statement is true.

Step-by-step explanation:

The first derivative of a function at a point represents the slope of the tangent line of the function at that point, thus it allow us to tell if the function is increasing or decreasing.

Analyzing given information.

We are given that for 6 < x < 10. Since the derivative represents the slope, we know that the slope of the function f(x) is positive for all values of x between 6 and 10.

Since the slope is positive, we can tell that the function f(x) is increasing on the interval from 6 to 10, thus the statement is true.

for ex: the reciprocal of 3/4 is 4/3. it is the opposite.

reciprocal definition:

a mathematical expression or function so related to another that their product is one; the quantity obtained by dividing the number one by a given quantity.

three-fourths of an hour

36÷48=0.75

0.75=