Note: Please reference the pictures below for the question details.

1.

The position of an object moving along a straight line is described by a function f ( ), where is measured in meters and time & is measured in seconds. (A) Fill in the blanks with the appropriate words, and do not use abbreviations or mathematical symbols: The units for the average rate of change in f over an interval It , to | are A per (B) Below is a chart that provides information about the position of the object at various times: f(t) 1 164 1.001 64.047984 1.0001 64.00479984 (1) Find the average velocity of the object over [1,1.001]. Keep all digits in your answer! Do notnot include units. (il) Find the average velocity of the object over [1,1.0001]. Keep all digits in your answer! Do (C) Conjecture the instantaneous velocity of the object at t = 1 second. Use an integer value and do not include units.The graph of y = f(x) is shown below. Although f(x) is not one-to-one, we can restrict its domain to make it one-to-one so that it has an inverse. On which of the following domains, given in interval notation, would the restriction of f(x) be one-to-one? Select all correct answers. OH N WA 4 -3 -2 -1 01 2 3 4 5 6 7 8\fWhich of the answer choices gives an equation of the graph given below? 2 0 0 TT / 2 TT 3TT/2 2 TT -2 3TT 21 NSelect the correct answer below: O y= - sin(-2 (x + ; ) ) +1 O y = sin(x + # ) - 1 O y = sin (2 ( x + ; ) ) +1 O y= sin (1 = = 1 O y = sin (2 (x - ;) ) -1 O y = sin(-2 (x - =)) +1\f\f\f\f