3.1-5 Quiz

Question 1

Piecewise Functions

Answer 1

Made up of two or more functions, each with its own domain

Question 2

Evaluating Piecewise Functions

Answer 2

Find which domain the x-value makes true, then plug the x-value into the corresponding function

Question 3

Graphing Piecewise Functions

Answer 3

Graph then erase according to the respective domain

Question 4

Absolute Value Functions

Answer 4

Written as f(x)=|x|

Question 5

Absolute Value Graph

Answer 5

Looks like a V

Question 6

Turning Point

Answer 6

Called the vertex

Question 7

Graphing Absolute Values by Table

Answer 7

Place vertex in the middle then include values on both sides

Question 8

Steps to Graphing Absolute Values by Table

Answer 8

1) Find the x-value of the vertex by setting the expression inside the absolute value to 0 and solving
2) Place this value in the middle row of your table and complete the table
3) Graph

Question 9

Absolute Value Pointing Down

Answer 9

Negative sign in front of absolute value

Question 10

Using Union

Answer 10

Use union and brackets when there is an according jump

Question 11

Steps to Graphing Absolute Value Inequalities

Answer 11

1) Create a table of values with the vertex in the middle row
2) graph using a dashed line for < or > symbols and a solid line for ≤ or ≥ symbols
3) Shade above the line for > or ≥ symbols and below the line for < or ≤ symbols (or test)

Question 12

Standard Form of a Quadratic Equation

Answer 12

y = ax^2 + bx + c when a ≠ 0

Question 13

Parabola

Answer 13

The U-shaped curve in a quadratic equation

Question 14

If “A” is Positive

Answer 14

Parabola will open up and be minimum

Question 15

If “A” is Negative

Answer 15

Parabola will open down and be maximum

Question 16

Axis of Symmetry

Answer 16

The vertical line that divides the parabola into two equal parts

Question 17

Axis of Symmetry Formula

Answer 17

x = -b/2a

Question 18

Minimum

Answer 18

When the vertex is the lowest point

Question 19

Maximum

Answer 19

When the vertex is the highest point

Question 20

Steps to Graphing Quadratics by Table

Answer 20

1) Find the axis of symmetry and vertex
2) Place the vertex as the middle row, number up and down, then complete the table
3) Graph

Question 21

Piecewise Quadratic Functions

Answer 21

Create table starting with inequality

Question 22

Steps to Graphing Quadratic Inequalities

Answer 22

1) Create a table of values with vertex in middle row
2) Graph using a dashed line for < and > symbols and a solid line for ≤ and ≥ symbols
3) Shade above the line for > or ≥ symbols and below the line for < or ≤ symbols, or test