Relations Functions Range Relations vs Functions

What is the value of f(5) in the given function: f(x) = 5x + 3?

• f(5) = 20

• f(5) = 23

• f(5) = 28

• None of the above

Answer explanation

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Evaluate functions

Identify the domain values in the given relation:

{(0,-2), (3,3), (5,-6), (7,-9)}.

• Domain (x) = {-2, 3, -6, -9}

• Domain (x) = {0, 3, -5, 7}

• Domain (x) = {0, 3, 5, 7}

• None of the above

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Find the domain and range of a function

Identify the range values in the given relation: {(-6,8), (2,9), (-2,0), (1,3)}.

• Range (y) = {-6, 2, -2, 1}

• Range (y) = {8, 9, 0, 3}

• Range (y) = {-6, 9, 0, 1}

• None of the above

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Find the domain and range of a function

In the function provided f(x) = 4x + 17, solve for f(x) = 49.

Answer explanation

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Evaluate functions

Write the given linear equation in function notation form:

36x + 18y = 90.

Answer explanation

1. Change the linear equation into the slope-intercept form.

2. Once completed, change into function notation form - replace y with f(x).

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Write equations in function notation

Write the given linear equation in function notation form: 45x + 9y = 81

Answer explanation

1. Change the linear equation into the slope-intercept form.

2. Once completed, change into function notation form - replace y with f(x).

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Write equations in function notation

The cost of producing Dana’s special oatmeal chocolate chip cookies is given by f(x) = 5x + 15 in peso. Jungkook would like to order 2 boxes of 15 pieces each. What is the cost of Jungkook’s order of 30 cookies?

Answer explanation

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Solve problems involving linear functions

BTS has to take a rental car around the vicinity for their concert in the Philippines. In order to rent a car, there is a fixed base cost worth Php 25,000.00. There is an additional charge for the use of the rental car per day worth Php 5,000.00.

Determine the linear function that relates to the total cost of the car service to the number of days (x) that the group used the car. 

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Solve problems involving linear functions

Is the relationship in the table a function or not a function?

• Function

• Not a Function

Is the following relation a function?
{(1,5), (1,7), (3,9), (4,11)}

• Yes

• No