Algebra 2 - Chapter 2 Review

Parts of Functions

100

What is the domain? 

(-6, -8), (-4, -3), (-1, 6), (0, 10)

{-6, -4, -1, 0}

200

What is the domain and range of the following? 

(8,-2), (7, -1), (6, 0), (5, 1), (4, 2) 

Domain - {8, 7, 6, 5, 4}

Range - {-2, -1, 0, 1, 2}

300

The second variable in a function, often y, is called the _____________ variable because its values rely on x. 

dependent

400

When an equation represents a function, the variable, often x, with values making up the domain is called the ______________ variable. 

independent

500

What is the name of the test one can use to determine if a graph is a function? 

Vertical Line Test 

Function Terms

100

What is a set of ordered pairs known as? 

relation

200

When the domain of a relation has an infinite number of elements and the relation can be graphed with a line or smooth curve, the relation is a __________ function.

continuous

300

A relation in which the domain consists of a set of individual elements and the graph is a set of unconnected points is said to be a _______ function. 

discrete 

400

What type of function occurs when each element of the domain pairs to exactly one unique element of the range? 

one-to-one

500

What is the term for when each element of the range corresponds to an element of the domain?

Onto 

Function Linearity

100

Give an example of a quadratic function. 

Ex. x² + 3x - 1 

200

If x is in the denominator of an equation, is it linear? 

No

300

Write y = 5x - 2 in function notation. 

f(x) = 5x - 2

400

How do you know if a function is linear? 

no exponent raised to a power greater than one; can be written in slope-intercept form

500

Is 3y - 21x = 12 linear? Why or why not?

Yes; y = 7x + 4 (slope-intercept form)

Function Symmetry and Extrema

100

When each half of the graph maps exactly to the other half, it is called __________ symmetry. 

line

200

The line dividing the graphs into matching halves is called the __________ ___ ___________ . 

line of symmetry

300

A parabola that opens upward has a _______________ value.

Minumum

400

A graph that has extrema has at least one __________ _________.

turning point

500

Describe point symmetry. 

if it can be rotated 180 degrees about a point so that its rotation maps exactly to itself (original position)

Transformations of Functions

100

The graph that is transformed to create other members in the family of graphs is called the ____________ function. 

parent

200

y = (x + 5)

What type of transformation is happening?

left 5 units

300

y = 2x

What type of transformation is happening?

Vertical Stretch by 2 

400

y = - ( x - 3 )

What type of transformations are happening?

reflection across x-axis

right 3 units

500

y = (-5x + 5)

What type of transformations are happening?

reflection across the y-axis

left 5 units 

horizontal compression