Exploring Linear, Quadratic, and Exponential Functions

What type of function is represented by f(x) = x?

• Linear

• Quadratic

• None of the above

• Exponential

What shape does the graph of a quadratic function typically have?

• Exponential growth

• U-shape

• Horizontal line

• Straight line

Which function's graph approaches zero on one end and increases rapidly on the other?

• Exponential

• None of the above

• Linear

• Quadratic

Which graph would represent a linear function?

• A curve that approaches zero

• A straight line

• A U-shaped curve

• A curve that gets steeper

What indicates a constant rate of change in a table of values?

• None of the above

• Values increase by the same amount

• Values increase by different amounts

• Values decrease then increase

Which equation represents an exponential function?

• y = 3^x

• f(x) = x

• x^2

• y = x^2 - 1

What characteristic is unique to quadratic functions?

• Constant rate of change

• Line of symmetry

• Always increasing

• Exponential growth

Which function type is described by a graph that gets less steep as the x values increase?

• Quadratic

• None of the above

• Linear

• Exponential

What real-life situation could be modeled by a quadratic function?

• Temperature over a day

• Population growth

• Cost of gas per gallon

• Height of a ball thrown upwards

Which scenario is best modeled by an exponential function?

• Volume of water in a tank over time

• Distance traveled over time at a constant speed

• Height of a tree over years

• Number of bacteria cells dividing over days