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In this lesson, we will learn how to evaluate a linear function at a certain point, complete a function table, and use function tables to organize input-output values.

Q1:

Fill in the input-output table for the function π¦ = 5 π₯ + 3 .

Q2:

Evaluate π ( 2 ) , given that π ( π₯ ) = 3 π₯ + 7 .

Q3:

Evaluate π ( β π₯ ) , given that π ( π₯ ) = 3 π₯ + 7 .

Q4:

Given the function π¦ = 7 + 2 π₯ , what is the output of this function when the input is 4?

Q5:

If π βΆ { 9 , 1 0 , 1 1 , 1 2 , 1 3 } βΆ β€ + , where π ( π₯ ) = 1 7 π₯ β 1 8 and π ( π ) = 2 0 3 , find the value of π .

Q6:

Given that satisfies the relation , find the value of .

Q7:

Which of the following satisfies the relation π₯ β π¦ = β 1 0 ?

Q8:

Given that ( 1 , π ) satisfies the relation π¦ β 4 π₯ = 7 , find the value of π .

Q9:

Which of the following relations is satisfied by both the point ( β 1 , 1 ) and the point ( 0 , 3 ) ?

Q10:

Which of the following pairs all satisfy the relation π₯ β π¦ = β 1 3 ?

Q11:

Given that ( β 7 , β 3 ) satisfies the relation 3 π₯ + π π¦ = β 3 , find the value of π .

Q12:

Fill in the missing values given that the following pairs satisfy the relation π¦ = 3 π₯ β 2 : ( 8 , ) , ( 1 1 , ) , ( 1 3 , ) , and ( 1 6 , ) .

Q13:

Given that ( 0 , 2 π ) satisfies the relation π¦ = 5 π₯ β 8 , find the value of π .

Q14:

Which of the following relations does the point ( β 5 , 2 ) not satisfy?

Q15:

Which of the following does the point ( β 2 , β 2 ) satisfy?

Q16:

Select the linear function whose graph is contained in the line 2 π¦ β 3 π₯ + 7 = 0 .

Q17:

Find the coordinates of the points π ( 2 ) , π ( 1 7 ) , and π ( 3 1 ) given π ( π₯ ) = π₯ + 1 2 .

Q18:

Evaluate π ( 4 β π₯ ) , given that π ( π₯ ) = 3 π₯ + 7 .

Q19:

Consider a linear function π ( π₯ ) = π π₯ + π .

Give an expression for π ( π₯ + Ξ π₯ ) β π ( π₯ ) .

What can you conclude about the way a linear function grows?

Q20:

In chemistry, the volume of a certain gas is given by π = 2 0 π , where π is temperature in degrees Celsius. If the temperature varies between 8 0 β C and 1 2 0 β C , find the interval that describes the corresponding volume values.

Q21:

Evaluate π ( π ) , given that π ( π₯ ) = 3 π₯ + 7 .

Q22:

Answer the following questions for the functions π¦ = 3 π₯ β 1 and π¦ = β 1 2 π₯ + 5 2 .

Complete the table of values for π¦ = 3 π₯ β 1 .

Complete the table of values for π¦ = β 1 2 π₯ + 5 2 .

Use the tables of values to determine the intersection point of the two graphs.

Q23:

A bookshop sells used paperback books for $11.00 each and used hardcover books for $15.00 each. Find a function rule that shows the total selling price of both types of books, and then determine the price of 8 paperback and 3 hardcover books. Let π represent the number of paperback books, π£ the number of hardcover books, and π‘ the total selling price of both types of books.

Q24:

Find the range of π given π ( π₯ ) = β 2 π₯ β 3 where π₯ β { 5 , 1 0 } .

Q25:

Find π‘ ( 1 ) , π‘ ( 4 ) and π‘ ( 1 0 ) in coordinate form and the range of the function π‘ ( π₯ ) = 3 π₯ + 9 .

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