Algebra Unit 1 Test

Question 1

What are dotted lines in a graph called?

Answer 1

Rationals

Question 2

What is a graph with gaps or holes or jumps called?

Answer 2

Discontinuous graphs

Question 3

What are linear lines?

Answer 3

They are straight lines.

Question 4

What are L-shaped lines called?

Answer 4

Exponentials

Question 5

What are lines with 3-squiggles called?

Answer 5

Periodics

Question 6

What are lines with 2-squiggles called?

Answer 6

Polynomials.

Question 7

What are all parabolas called?

Answer 7

Quadratics

Question 8

What is the difference between the coordinate (1,3) and the interval (1,3)?

Answer 8

A coordinate is a singular point on a graph. While an interval is a range of points between 1 and 3. For intervals, with parentheses, you don’t include the ends. Only when you see brackets do you include the ending numbers. For intervals, both values on the parentheses are x-values.

Question 9

Intercept

Answer 9

The values/location of where the graph passes through the either axis.

Question 10

End Behavior

Answer 10

The directions the ends of a graph head towards. Typically using the infinity signs.

Question 11

Turning Point

Answer 11

Where the graph changes directions (up or down.)

Question 12

Intervals (positive or negative)

Answer 12

When the y-values are positive (above the x-axis) or negative (below the x-axis)
(Use parentheses as well, no brackets!!!)
-Using x-value to describe what y is doing.
Ex. This graph is negative when x is between 2 and 4 and the graph is positive everywhere else.
Ex2. This graph is negative when x is less than 1 and when x is between 6 and 8.
The graph is positive when x is between 1 to 6 and above 8.

Question 13

Intervals (Increasing or decreasing)

Answer 13

The graph is decreasing or increasing depending on whether the y-values are going up or down. Describe with x-values.
You could use either greater than or less than signs, or parentheses. It doesn’t matter.
(Use less than or greater than symbols, no equal signs when describing it.)
Ex. This graph is decreasing when x is less than 3 and increasing when x is greater than 3.
Ex2. This graph is increasing when x is less than 2, from 3 to 5 and above 7.
This graph is decreasing when x is between 2 and 3 or 5 and 7.

Question 14

Symmetry

Answer 14

Property of a graph which allows it to be reflected over a line/axis or point.

Question 15

Function

Answer 15

A function is a relation that for every input (x) there’s only one output.
We use…
f(x) , g(x), h(x)
all depending on the variable

Question 16

What is the domain of a function?

Answer 16

A domain of a function is all the x-values the function encompasses (starts and stops along x-axis)

Question 17

What is the range of a function?

Answer 17

The range of a function is all the y-values the function encompasses.

Question 18

When do you use curly brackets?

Answer 18

We use curly brackets when listing specific values/numbers. Least popular.
Ex. Used when you see a table with the values listed. You would list the numbers one by one, and only write a repeating number only once.
Ex2. When the range is one number, use the curly bracket.

Question 19

Explain why a function cannot have more than one y-intercept.

Answer 19

A function cannot have more than one 1 y-intercept because then it wouldn’t be considered a function anymore.

Question 20

How do you state maximum and minimum values of a function.

Answer 20

You state the exact point, so using parentheses for both values.

Question 21

What are the other names for x-intercepts of a function?

Answer 21

A function’s ‘zeros’ because they are where f(x) = 0.
Also! The “ROOTS” of a function. You also have to state the full point, not just the x-values.

Question 22

Slope-intercept formula

Answer 22

y = mx + b

Question 23

What does it mean for a slope to be zero?

Answer 23

It means the line is a straight horizontal line. It has an infinite domain and a one bracket value as its range.

Question 24

What does it mean for a slope to be undefined?

Answer 24

It means that the line is a straight vertical line with a one bracket value for its domain and an infinite range value.

Question 25

Point Slope Form

Answer 25

y-y1 = m (x-x1)

Question 26

What do you have to remember about graphing or solving equations?

Answer 26

You have to write the point answer near the two given equations or system.

Question 27

What does it mean for any system of equations to have a solution?

Answer 27

The intersection point between 2 functions (full coordinate!!)

Question 28

What would it mean if you were solving a system and ended up with a false statement such as. “0=10”?

Answer 28

It would mean there is “no solution.” For example, it could mean the lines are parallel to each other (same slope but diff. y-intercepts.)

Question 29

What would it mean if you were solving a system but everything cancelled out, leaving you with “0=0”?

Answer 29

It would mean the system has infinite solutions or it is the same exact line.

Question 30

How do you find intersections on your calculator?

Answer 30

1. Solve equation for “y=”
2. Plug into y1 and y2
3. Hit graph and make sure interaction is visible
4. Hit “2nd” then “trace,” and “5:intersect”
5. Move a little into first line/function. Then hit enter. Then on the second line move a little. Then hit enter twice.

Question 31

How do you solve systems using matrices on a calculator?

Answer 31

1. “2nd” -> “Matrix” -> “Edit”
2. 3x4, input coefficients
3. 2nd -> Quit
4. 2nd -> Matrix -> Math
5. B : rref (
6. 2nd -> Matrix -> Enter