AP CALCULUS BC ACTUAL EXAM 100%
CORRECT QUESTIONS WITH SOLUTIONS
GRADED A+
◍ when is a function odd? Answer: when it is symmetric about the
origin
(x,y) to (-x,-y)
◍ How do you find the absolute maximum and absolute minimum of
a function using the closed interval method? Answer: Find all critical
numbers (x values) inside the interval
Find the value of the function (y values) at these critical numbers
Find the value of the function at the endpoints of the interval
The largest and smallest values found are the absolute maximum and
minimum
◍ what are points of inflection? Answer: maximums and minimums
on the graph of the first derivative
, ◍ where do points of inflections occur? Answer: where concavity
changes sign
◍ How do you write a linear approximation (equation of the tangent)
and use it to approximate the value of a function) Answer: use the
following equation:
y - ________ = _______(x-________)
put the values of x and y into the equation
take original function and find the derivative of it
put x into the derivative to find slope
put the slope into the equation and you have found the equation
*if it asks you to find the value of a function at a certain x value, put
that x value into the equation you just made and solve for the value of
the function
◍ example of writing a linear approximation and approximating the
value of a function
If y = 2x2 + x - 4, find the equation of the tangent when x = 1.
Answer: Y - -1 = _____ (x - 1) *found y value by putting x value into
original function
CORRECT QUESTIONS WITH SOLUTIONS
GRADED A+
◍ when is a function odd? Answer: when it is symmetric about the
origin
(x,y) to (-x,-y)
◍ How do you find the absolute maximum and absolute minimum of
a function using the closed interval method? Answer: Find all critical
numbers (x values) inside the interval
Find the value of the function (y values) at these critical numbers
Find the value of the function at the endpoints of the interval
The largest and smallest values found are the absolute maximum and
minimum
◍ what are points of inflection? Answer: maximums and minimums
on the graph of the first derivative
, ◍ where do points of inflections occur? Answer: where concavity
changes sign
◍ How do you write a linear approximation (equation of the tangent)
and use it to approximate the value of a function) Answer: use the
following equation:
y - ________ = _______(x-________)
put the values of x and y into the equation
take original function and find the derivative of it
put x into the derivative to find slope
put the slope into the equation and you have found the equation
*if it asks you to find the value of a function at a certain x value, put
that x value into the equation you just made and solve for the value of
the function
◍ example of writing a linear approximation and approximating the
value of a function
If y = 2x2 + x - 4, find the equation of the tangent when x = 1.
Answer: Y - -1 = _____ (x - 1) *found y value by putting x value into
original function
