Exploring Function Comparisons in Guided Notes

What is the highest power of the input in a linear function?

• 1

• 2

• 0

• x

In an exponential function, where does the input appear?

• As a base

• As a coefficient

• As a constant

• As an exponent

Which of the following functions is quadratic?

• f(x) = 5

• f(x) = 3x + 1

• f(x) = x^2 + 3x + 2

• f(x) = 2^x

If the input is raised to the highest power of one, what type of function is it?

• Exponential

• Linear

• None of the above

• Quadratic

What shape does a quadratic function make on a graph?

• Circle

• U-shape

• Curve that rises or falls quickly

• Straight line

Which function type forms a straight line on a graph?

• Linear

• Quadratic

• Exponential

• Absolute value

What indicates a linear function when looking at a table of values?

• Constant second difference

• Constant first difference

• None of the above

• Constant common ratio

How do you identify an exponential function from a table of values?

• Constant common ratio

• None of the above

• Constant first difference

• Constant second difference

If the second difference in a table is constant, what type of function is it?

• Linear

• None of the above

• Quadratic

• Exponential

In the final example, what type of function is identified by adding four every time?

• None of the above

• Quadratic

• Linear

• Exponential