Exploring Linear, Quadratic, and Exponential Models

Which of the following is the general form of a linear function?

• y = ax^2 + bx + c

• y = mx + b

• y = a * b^x

• y = a * x^b

What is the key characteristic of a linear function when x is incremented by a constant amount?

• y changes exponentially

• y remains the same

• y changes by a variable amount

• y changes by a constant amount

If the change in y is 60, 90, and 135 for consecutive increments of x, what type of function is this likely NOT to be?

• Exponential

• Quadratic

• None of the above

• Linear

Which of the following statements is true about linear functions?

• The ratio of y values is constant

• The change in the change of y is constant

• The change in y is constant when x is incremented by a constant amount

• The value of y is constant

In a quadratic function, what is constant when x is incremented by a constant amount?

• The value of y

• The ratio of y values

• The change in y

• The change in the change of y

Which of the following data sets is likely to be quadratic?

• Change in y: 120, 180, 270

• Change in y: 2, 0, -2, -4, -6

• Change in y: 60, 90, 135

• Change in y: 1, 2, 3, 4

Which of the following is NOT a characteristic of a quadratic function?

• The change in y is not constant

• The change in the change of y is constant

• The change in y can be positive or negative

• The ratio of y values is constant

What is the key characteristic of an exponential function when x is incremented by a constant amount?

• The value of y is constant

• The ratio of y values is constant

• The change in the change of y is constant

• The change in y is constant

If y values are 120, 180, 270, and 405 when x is incremented by 1, what type of function is this likely to be?

• None of the above

• Exponential

• Quadratic

• Linear

What is the form of an exponential function?

• y = ax^2 + bx + c

• y = a * x^b

• y = mx + b

• y = a * b^x