Precalculus Algebra Practice Test

In the complex number 5+2i, the number 5 is called the __________ part, the number 2 is called the __________ part and the number i is called the _________.

real, imaginary, imaginary unit

If r is a real zero of even multiplicity of a function f, then the graph of f __________ the x-axis at r.

Touches

True or False: All real numbers are complex numbers.

True

True or False: The quotient of two polynomial expressions is a rational expression.

True

True or False: The x-intercepts of a function y=f(x) are the real solutions of the equation f(x)=0.

True

True or Flase: Rational number and irrational number are in the set of real numbers.

True

If r is a solution to the equation f(x)=0, name three additional statements that can be made about f and r assuming f is a polynomial function.

1. r is a real zero of the polynomial function f 2. r is an x-intercept of the graph of f 3. x-r is a factor of f

The vertical line passing through the vertex of a parabola is called the ____________

Axis of Symmetry

Which operation involving complex numbers requires the use of a conjugate to be carried out?

Division

True or False: If 2-3i is a solution of a quadratic equation with real the real coefficients, then -2+3i is also a solution.

False

True or False: The conjugate of 2+5i is -2-5i.

False

True or False: The domain of every rational function is the set of all real numbers.

False

Powers of i repeat every ________ power.

Fourth

The graph of a quadratic equation is called a(n) _________.

Parabola

The graph of every polynomial function is both ________ and __________.

Smooth, continuous