Wednesday

January 28, 2015

January 28, 2015

Posted by **Shreya** on Wednesday, September 26, 2012 at 7:10pm.

Decide whether each of the following is sometimes true, always true, or never true and explain reasoning.

A. A cubic function has 2 different x-intercepts

^Never true, has to have 3?

B. A cubic function has 3 x-intercepts

^ Always true

C. A quartic function has the range of all real numbers

^ ?

D. A quartic function has no x-intercepts

^Never true

E. A quadratic function will have at most 2 x-intercepts

Always true

F. A quintic function and a cubic function has the same range

?

- Pre-Calculus -
**Steve**, Thursday, September 27, 2012 at 10:16amA. sometimes true: x(x-1)^2

B. Sometimes true x^3 ; x(x-1)(x-2)

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 ...

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 ...

algebra - If you have a^ + b^= (a+b)(a+b). Is this always true, never true, or ...

Math - if a polynomial function is of degree n, then the graph will have n-1 ...

Math - Determine whether the statement is true, false, or sometimes true. ...