AP PRECALCULUS Scoring Guide
Sg- Unit 4
Progress Check
Mcq Part A
Scoring Guide.
AP Precalculus Page 1 of 19
, Scoring Guide
unit 4 progress check: mcq part a
1. the parametric function is given by , where and for .
for what values of will the - and -coordinates be equal?
(A) and
(B) and
(C) only
(D) only
Ans: C
Correct. The values for are found by solving , which is . The solutions to
the equation are and . Because of the restricted domain of , is the only value
where the - and -coordinates are equal.
2. the parametric function given by is defined for . the graph of is entirely
in quadrant iv in the -plane. which of the following could define ?
(A)
(B)
(C)
(D)
Answer C
Correct. The values of are positive, and the values of are negative. The graph of this
parametric function is entirely in Quadrant IV.
Page 2 of 19 AP Precalculus
, AP PRECALCULUS Scoring Guide
unit 4 progress check: mcq part a
3.
values for the parametric function are given in the table at selected values of . on which
of the following intervals of are the start point and end point of the graph of farthest from each other?
(A)
(B)
(C)
(d)
Answer B
Correct. By using the Pythagorean Theorem, the distance between the start and end points on this
interval is . On this interval, the start and end points of the graph of are farthest from each other.
4. the parametric function is given by , where and for
. which of the following is the graph of in the -plane?
AP Precalculus Page 3 of 19
Sg- Unit 4
Progress Check
Mcq Part A
Scoring Guide.
AP Precalculus Page 1 of 19
, Scoring Guide
unit 4 progress check: mcq part a
1. the parametric function is given by , where and for .
for what values of will the - and -coordinates be equal?
(A) and
(B) and
(C) only
(D) only
Ans: C
Correct. The values for are found by solving , which is . The solutions to
the equation are and . Because of the restricted domain of , is the only value
where the - and -coordinates are equal.
2. the parametric function given by is defined for . the graph of is entirely
in quadrant iv in the -plane. which of the following could define ?
(A)
(B)
(C)
(D)
Answer C
Correct. The values of are positive, and the values of are negative. The graph of this
parametric function is entirely in Quadrant IV.
Page 2 of 19 AP Precalculus
, AP PRECALCULUS Scoring Guide
unit 4 progress check: mcq part a
3.
values for the parametric function are given in the table at selected values of . on which
of the following intervals of are the start point and end point of the graph of farthest from each other?
(A)
(B)
(C)
(d)
Answer B
Correct. By using the Pythagorean Theorem, the distance between the start and end points on this
interval is . On this interval, the start and end points of the graph of are farthest from each other.
4. the parametric function is given by , where and for
. which of the following is the graph of in the -plane?
AP Precalculus Page 3 of 19