Posted by Shreya on Wednesday, September 26, 2012 at 7:10pm.
Graphing Polynomials
Decide whether each of the following is sometimes true, always true, or never true and explain reasoning.
A. A cubic function has 2 different xintercepts
^Never true, has to have 3?
B. A cubic function has 3 xintercepts
^ Always true
C. A quartic function has the range of all real numbers
^ ?
D. A quartic function has no xintercepts
^Never true
E. A quadratic function will have at most 2 xintercepts
Always true
F. A quintic function and a cubic function has the same range
?

PreCalculus  Steve, Thursday, September 27, 2012 at 10:16am
A. sometimes true: x(x1)^2
B. Sometimes true x^3 ; x(x1)(x2)
C. never. It always opens up or down.
D. sometimes true. x^4+1
E. always true
F. true. Always has range of all reals.
Every cubic looks like x^3, and every quintic looks like x^5, with some wiggles around the roots, but in the end they all go from infinity to infinity.
Answer This Question
Related Questions
 Math  a.)If ABCD is a parallelogram, then ABCD is (always true, sometimes true...
 Calculus theory  Determine if the statement is always true, sometimes true, or ...
 geometry  Is it always true, sometimes true, or never true that the centroid is...
 math  Determine whether the statement is always true, sometimes true, or never ...
 Math  Decide whether each statement is always true, sometimes true, or never ...
 Math  if a polynomial function is of degree n, then the graph will have n1 ...
 algebra  If you have a^ + b^= (a+b)(a+b). Is this always true, never true, or ...
 basic math  Is it always true, sometimes true, or never true that a regular ...
 Geometry  Is it always true, sometimes true, or never true that the ...
 Algebra  A positive integer minus a positive integer is always positive. This ...
More Related Questions