Representing, Naming, and Evaluating Functions

Given 
f(x)= 2x² + 5x - 17, find f(-1). 

• f(-1) = -20

• f(-1) = -24

What is the Domain of this linear function?

• -3 < x ≤ 5

• x = -1

• 5 < x ≤ -3

• -2 < x ≤ 6

What is a rule that assigns exactly one output to ever input? 

• mapping diagram

• table 

• function

• function notation 

Is this a function? 

• Yes, because every input has exactly one output

• No, because -1 has more than one output 

• No, because 3 is in the input and the output 

Is this a function? 

• Yes, because 15 is assigned the output value of 7 and 9

• No, because 15 has more than one output 

• No, because -1, 0, and 15 have the same output value of 9 

What is the result after applying the function machine rule? 

• the input

• the output 

• the function notation 

• a linear equation 

Evaluate the function rule: 
 y = 5 x - 2    for x = 3 

• y = 13 

• y = 12 

• y = 11.5 

• y = 17 

Evaluate the function rule: 
y = 6(x - 6)  for x = 7 

• y = 36 

• y = 6 

• y = 1 

• y = 7 

Is the table on the left a function? 

• Yes, because every input has exactly one output

• No, because 1 and 3 have the same output value 

Is the table on the right a function? 

• No, because not every input has exactly one outout

• Yes, because every input has exactly one output 

• No, because 4 has more than one output