Competency 5—Knowledge of precalculus and calculus
DIRECTIONS: Read the question and select the best response.
The graph of the derivative of a function is given. Identify the graph of the function.
Figure: A graphic of a Cartesian plane is shown. The
Y axis has labels at negative one point five, negative one, negative point five,
zero, point five, one, and one point five. The X axis has labels at negative three
pi over two, negative pi, negative pi over two, zero, and pi over two. The derivative
of a function is represented by a wave that is represented as follows from left
to right: beginning at negative two pi, negative one below the X axis before intersecting
the X axis at negative three pi over two, above the X axis going up until negative
pi, one, intersecting the X axis again at negative pi over two, below the X axis
and intersecting the Y axis at negative one, going up and intersecting the X axis
again at pi over two and then above the X axis to pi, one.
AnswerEnter
to expand or collapse answer.Answer expanded
Figure: A graphic of a Cartesian plane is shown. The Y axis has labels at negative one point five, negative one, negative point five, zero, point five, one, and one point five. The X axis has labels at negative three pi over two, negative pi, negative pi over two, zero, and pi over two. The derivative of a function is represented by a wave that is represented as follows from left to right: beginning at negative two pi, negative one below the X axis before intersecting the X axis at negative three pi over two, above the X axis going up until negative pi, one, intersecting the X axis again at negative pi over two, below the X axis and intersecting the Y axis at negative one, going up and intersecting the X axis again at pi over two and then above the X axis to pi, one.