Models Review

Linear Models

100

Which of these graphs shows a linear function?

The last one

200

In order to calculate if a function is linear, we have to look at the _______?

First Differences 

300

True or False. 

A linear relationship implies different changes over equal intervals.

False.

A linear relationship implies equal changes over equal intervals.

400

If the line of best fit for a linear function is y=3x + 5, predict what the function will be at x=20

y=3(20) + 5

y=60 + 5

y=65

500

Determine if this graph has a positive, negative, or zero rate of change?

Positive

Quadratic Models

100

Which of these graphs shows a quadratic function?

The first one

200

In order to calculate if a function is quadratic, we have to look at the _______?

Second Differences

300

Is the rate of change for this function increasing or decreasing?

Decreasing

400

If the curve of best fit for a quadratic function is y=3x²+2x+5, predict what the function will be at x=4

y=61

500

Is the first differences, second differences and the ratios are not the same, what type of function do we have?

We cannot determine.

Exponential Models

100

Which of these graphs shows a exponential function?

The second one

200

In order to calculate if a function is exponential, we have to look at the _______?

Ratios

300

True of False

In an exponential relation, there is a constant percent increase over equal intervals. 

True

400

If the equation of best fit for an exponential function is y=4 (5^x), predict what the function will be at x=2

y=100

500

Does this data set match this table of values?

___x_____|____y____

       1       |     1

       2       |     2

       3       |     4

       4       |     8

       5       |    16

No

Which one?

100

If the x-variable is time (s) and the y-variable is distance in (m), what is an appropriate term for the rate of change?

seconds per metre

200

Determine if this data belongs to a function that is linear, quadratic or exponential.

Linear because the first differences are the same.

300

True or False

This table of values shows the data of a quadratic function.

True

400

Determine if this data belongs to a function that is linear, quadratic or exponential.

Exponential because the ratios are the same.

500

Determine if this data belongs to a function that is linear, quadratic or exponential.

___x______y____

    0          3000

    1          2950

    2          2900  

    3          2850 

    4          2800 

Cannot determine based on the given data.