Precalculus B semester exam vocab review

Function : A relationship from one set (called the domain) to another set (called the range) that assigns to each element of the domain exactly one element of the range. 2. The action or actions that an item is designed to perform.

Relation : An association between two or more variables. If one of the variables changes, the other variable may also change, and the change may be predictable.

Global Maximum : Finds the highest y-number the function goes to

Global Minimum : Finds the lowest y-number the function goes to

Discontinuous Function : A function whose graph has one or more jumps, breaks, or holes.

Infinite Discontinuity : A value of x that creates a vertical asymptote on a function.

Odd Function : graph is symmetrical with respect to the origin; f(-x)=-f(x)

Vertical Asymptote : f(x) approaches infinity as x approaches a number, when denominator =0

Vertical Stretch : a * f(x) where a>1

Vertical Shrink : a * f(x) where 0<a<1

Rate of Change : Same as slope

End Behavior : the behavior of the graph of a function as x approaches positive infinity or negative infinity

Odd Polynomial : Degree higher than 3 and this shape

Absolute Value :

p(x)>0 : Where the function is positive or above the x-axis

Exponential Function : a function that can be described by an equation of the form y= a*b^x

Common Logarithms :

Natural Logarithms :

Reflection : y=-f(x)reflection on x-axisy=f(-x)reflection on y-axis

Vertical Stretching : if c>1, stretch vertically by c(multiply all y values by c)

Inverse Function : f^-1(y)=x <=> f(x)=ychange f(x) to y and solve for y

Determining End Behavior : y=ax^2+bx+cleading coefficient a:if a>0 and the exponent is even then it rises to the right and rises to the leftif a<0 and the exponent is even then it falls to the left and falls to the rightif a>0 and the exponent is odd then it falls to the left and rises to the rightif a<0 and the exponent is odd then it rises to the left and falls to the right