Introduction to functions common core algebra 2 homework answers

This first unit is devoted to the development of functions as building blocks of higher-level mathematics.  Simple functions are explored in algebraic, graphical, and tabular forms.  Graphing calculator technology is utilized to quickly visualize graphs of functions and their tabular behavior.  Preliminary concepts concerning one-to-one and inverse functions are explored.

• Unit #1 Review – Functions

• Unit 1 Mid-Unit Quiz – Form A

• U01.AO.01 – Working with Graphs of Functions

• U01.AO.02 – More Work with Inverse Functions

• U01.AO.03 – Lesson 7 – Using Tables on Your Calculator

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Asked by wiki @ 30/11/2021 in Mathematics viewed by 712 People

INTRODUCTION TO FUNCTION COMMON CORE ALGEBRA II HOMEWORK
HELP SOMEONE PLEASE ‼️‼️‼️‼️‼️‼️‼️‼️

Answered by wiki @ 30/11/2021

Using the concept of function, it is found that:

• Graphs B, C, D and F are functions.
• Graphs A and E are not functions.

-----------------------------

• In a function, one value of the input can be related to only one value of the output.

• In a graph, it means that for each value of x(horizontal axis), there can only be one respective value of y(vertical axis). That is, if a vertical line is traced at a value of x, it can cross the function only once, that is, there cannot be points aligned vertically.
• In graphs B, C, D and F, it can be seen that for each x value, there is only one respective y-value, thus, they are functions.
• In graphs A and E, for values of x, such as x = 3 for both, there are two respective values of y, thus they are not functions.

A similar problem is given at brainly.com/question/12463448

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Which analysis can be performed to determine if an equation is a function?

Possible Answers:

Horizontal line test

Calculating zeroes

Vertical line test

Calculating domain and range

Correct answer:

Vertical line test

Which graph depicts a function?

Correct answer:

Explanation:

A function may only have one y-value for each x-value.

The vertical line test can be used to identify the function. If at any point on the graph, a straight vertical line intersects the curve at more than one point, the curve is not a function.

The graph below is the graph of a piece-wise function in some interval.  Identify, in interval notation, the decreasing interval.

Correct answer:

Without graphing, determine the relationship between the following two lines. Select the most appropriate answer.

Possible Answers:

Supplementary

Complementary

Intersecting

Perpendicular

Parallel

Correct answer:

Perpendicular

Explanation:

Perpendicular lines have slopes that are negative reciprocals.  This is the case with these two lines.  Although these lines interesect, this is not the most appropriate answer since it does not account for the fact that they are perpendicular.

Find the slope from the following equation.

Correct answer:

Explanation:

To find the slope of an equation first get the equation in slope intercept form.

where,

 represents the slope.

Thus

Possible Answers:

3 spaces left, 2 spaces down

3 spaces right, 2 spaces down

3 spaces right, 2 spaces up

3 spaces up, 2 spaces left

Correct answer:

3 spaces left, 2 spaces down

Explanation:

When determining how a the graph of a function will be translated, we know that anything that happens to x in the function will impact the graph horizontally, opposite of what is expressed in the function, whereas anything that is outside the function will impact the graph vertically the same as it is in the function notation. 

For this graph: 

The graph will move 3 spaces left, because that is the opposite sign of the what is connected to x directly. 

Also, the graph will move down 2 spaces, because that is what is outside the function and the 2 is negative. 

Define a function .

Is this function even, odd, or neither?

Explanation:

To identify a function  as even odd, or neither, determine  by replacing  with , then simplifying. If , the function is even; if  is odd.

,

so

By the Power of a Product Property,

,

so  is an odd function

Define a function .

Is this function even, odd, or neither?

Explanation:

To identify a function  as even odd, or neither, determine  by replacing  with , then simplifying. If , the function is even; if  is odd.

so

By the Power of a Product Property,

, so  is not an even function.

,

, so  is not an odd function.

Define a function .

Is this function even, odd, or neither?

Explanation:

To identify a function  as even, odd, or neither, determine  by replacing  with , then simplifying. If , the function is even; if  is odd.

, so  is an even function.

Define a function .

Is this function even, odd, or neither?

Explanation:

To identify a function  as even, odd, or neither, determine  by replacing  with , then simplifying. If , the function is even; if  is odd.

Since ,  is an odd function.

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