Algebra Function Review

EOC Review Day 1

What type of questions are on the Algebra 1 EOC?

• Some multiple choice, some "technology-enhanced". No free response.

• Level 1 Questions-Recall, Level 2 Questions-Basic Reasoning, Level 3 Questions- Complex Reasoning

What type of questions are on the Algebra 1 EOC?

• There will be 2 sections.

• Section 1 has a non-calculator section that will be about 12 questions

• Total testing time is 60-130 minutes.

• We will test for an entire morning

• You will have a formula sheet and a graphing calculator similar to Desmos. You will also have a yellow calculator to use

How do I pass the Algebra 1 EOC?

Level 1: 0-37%

Level 2: 38%-56%

Level 3: 57%-80%

Level 4: 81%-100%

**Scores will be scaled. 49%=70 in the grade book. 81% = 90 in the gradebook

**EOC is worth 20% of your grade!!

How do I pass the Algebra 1 EOC?

• You will have a formula sheet...we will start using it now

• You will have approximately 2.5 minutes per question. All independent practice will be timed.

Example of a level 1 question:

Which of these is NOT a function?

Example of a level 2 question:

The number of school buses need to transport students is given by the function f(x)=(x+3)/30 where x represents the number of students going on the trip. What is the domain of this function?

Example of a level 3 question:

Michelle will sell her homemade necklaces for $8 each at a craft fair. It costs her $20 for the booth rental at the craft fair. Graph the linear equation.

Multiple Choice

Is this a function? 

• Yes
• No

Multiple Choice

Is this set of ordered pairs a function or not a function? 

• Function
• Not a Function 

Multiple Choice

Is this mapping a function or not a function? 

• Function
• Not a Function 

Multiple Choice

Is this table a function or not a function? 

• Function
• Not a Function 

Multiple Choice

Is this table a function or not a function? 

• Function
• Not a Function

Multiple Select

X values are also called...

• Domain

• Range

• Input

• Output

• Independent Variable

Multiple Choice

A functions range is all of it's...

• x values

• y values

Multiple Select

The domain off all three graphs is...

• $$\left(-\infty,\infty\right)$$

• All real numbers

Function Notation

• f(x) is used in function notation instead of y

• x is the input and y is the output

• Example: Given f(x)=2x-1, find f(7)

• Example: Create a table of values for the function f(x)=2x-1

Multiple Choice

For the function f(x) = -3(x-1) find f(0).

• 0

• -3

• 3

• -1

Multiple Choice

Evaluate f(-2) if f(x) = x+3

• -1

• 1

• 5

• -5

A manufacturer keeps track of her monthly costs by using a "cost function" that assigns a total cost for a given number of manufactured items, x. The function is c(x)=5000+1.3x

​

a. What is the reasonable domain of the function?

​

b. What is the cost of 2,000 items?

​

c. The cost must be kept below $10,000 this month, what is the greatest number of items she can manufacture?

​

​

​

Multiple Choice

What is an appropriate Domain for C(x) where C(x) is the number of calories in a sandwich.

• All Real numbers

• c(x) > 3

• All c(x) > 0

• All c(x) = 0

Characteristics

Domain

Range

x-intercept

y intercept

increasing

Decreasing

End Behavior

Asymptote

Axis of Symmetry

Vertex

​Is the linear function increasing or decreasing?

​

​What is the y-intercept?

​

​

​What is the x-intercept?

What is the average rate of change over the interval [1,3]

​

Minimum or maximum?

​

What is the vertex of the parabola?

​

​What are the x-intercepts?

​

​What is the y-intercept?

​

​

What is the asymptote of the function?

​

​What is the range?

​

​What is the y-int?

​

​What is the x-int?

​

​Describe the end behavior.

Is the table exponential or linear?

What is the average rate of change over the interval [0,2]?

Multiple Choice

What is the average rate of change from x=0 to x=1

• -3

• 3

• 0

• 2

Multiple Choice

Which of the following intervals has the largest average rate of change?

• [13,14]

• [13, 17]

• [16, 17]

• [16, 19]

Multiple Choice

What's the axis of symmetry of y = 3x² - 6x + 4

• x=1
• x=-6
• x=2
• x=-1

Multiple Choice

What is the vertex of the quadratic function:
y = x² - 6x + 11?

• (3,2)
• (-3,-2)
• (-3,2)
• (3,-2)

Multiple Choice

Does the equation have a max or min?
y = 2x² + 7x + 5

• max
• min