733.Which of the following statements is false?
a.There exists a polynomial whose graph is
increasing everywhere.
b.A polynomial must have at least one turning
point.
c.There exists a polynomial whose graph
remains below the x-axis on its entire
domain.
d.All of the statements are true.
734.Which of the following statements is true?
a.Linear functions with positive slopes are
increasing.
b.There exists a rational function whose graph
intersects both Quadrants I and II.
c.All quadratic functions are decreasing on
one side of the vertexand increasing on the
other side of the vertex.
d.All of the statements are true.
735.Determine the x-values of the points of inter-
section of the graphs off(x) =–4xand g(x) =
2 x.
a.0, 4
b.0,^14
c. 2
d.^12
736.Determine the x-values of the points of inter-
section of the graphs off(x) = xand g(x) =
3 x.
a. 0
b.0,9
c.0,3
d.The graphs do not intersect.
Set 47 (Answers begin on page xx)
This problem set focuses on translations and refelctions
of known graphs.737.Which of the following sequence of shifts
would you perform in order to obtain the
graph off(x) = (x+2)^3 – 3 from the graph
ofg(x) = x^3?
a.Shift the graph ofgup 3 units and then left
two units.
b.Shift the graph ofgdown 3 units and then
right two units.
c.Shift the graph ofgup 3 units and then right
two units.
d.Shift the graph ofgdown 3 units and then
left two units.738.Which of the following parabolas has its turning
point in the second quadrant of the coordinate
plane?
a.y= (x+ 1)^2 – 2
b.y= (x–1)^2 – 2
c.y= –(x+ 1)^2 – 2
d.y= –(x+ 1)^2 + 1
e.y= (x–2)^2 + 1739.Compared to the graph ofy= x^2 , the graph of
y= (x–2)^2 – 2 is
a.shifted 2 units right and 2 units down
b.shifted 2 units left and 2 units down
c.shifted 2 units right and 2 units up
d.shifted 2 units left and 2 units up
e.shifted 4 units left and 2 units down- ELEMENTARY FUNCTIONS–