Guess the Function

there is exactly one output (y-value) for each input (x-value)

"x doesn't repeat"

• function notation

• function

• domain

• range

Given the following table of values, construct the function that represents the sequence.

• y = 3(4)^x

• y = 3x + 4

• y = 4(3)^x

• y = 4x + 3

Is the table linear or exponential?

• Linear

• Exponential

Write the function rule to represent the table.

• y = 7x + 3

• y = 3(7)^x

• y = 7(3)x ^{- 1}

• Not a function

a) Function or not? (a)  

b) Domain =​ (b)  

Range =​ (c)  

• Function

• Not a Function

• {-5, -2,  2}

• {-4, 1. 3}

Answer explanation

The relation is not a function because it assigns multiple outputs to at least one input. The domain is {-5, -2, 2} and the range is {-4, 1, 3}, confirming the correct choices.

The table shows the average heights of boys at different ages.

The variable x represents age, in years, and y represents height, in inches. What is the best linear model for this data?

• y = 3.2x + 29

• y = 2.5x + 35

• y = .4x - 13

• y = .3x - 8

Using regression methods, write the function that BEST represents this data?

• V = -1053y + 14,413

• V = 60y² - 1,500y + 15,000

• V = 15,000(0.9)^y

• V = 100y² - 1,200y + 15,000

A single person sent a text to 3 friends. Each person in this group of 3 people then sent the same text to several people. In each subsequent stage, each person who received a text sent the text to several new people. The table shows the number of texts sent at each stage.

Using regression methods, write the function that BEST represents this data?

• f(x) = .9(4)^x

• f(x) = 1.3(3)^x

• f(x) = 152x - 176

• f(x) = 73x² - 213x + 68

What type of function BEST models this data, and why?

• Linear, because it should change at a constant rate.

• Quadratic, because it will be curved and should change direction.

• Exponential, because it should curve, but always moving in the same direction.

• Logarithmic, because this wasn't discussed and I like to guess.

A class was given the following data on the position of a moving object over time, but was not told what kind of motion the object was undergoing.

What type of function BEST models this data, and why?

• Linear, because it should change at a constant rate.

• Quadratic, because it will be curved and should change direction.

• Exponential, because it should curve, but always moving in the same direction.

• Logarithmic, because this wasn't discussed and I like to guess.