Exponential Function Characteristics Worksheet

Students identify the domain and range of an exponential function from its graph or equation.

Students determine the x- and y-intercepts of an exponential function.

Students identify the horizontal asymptote of an exponential function.

Students describe end behaviour of an exponential function using limit notation as x approaches positive and negative infinity.

Use Version 1 for initial instruction and practice, then assign Version 2 as a retake or parallel second-period assignment, since both versions test the same skill set with different functions.

Have students show scratch work for the equation-based functions (items 5-8) on separate paper, as the worksheet's own directions specify.

Use the KEY pages' interval and limit notation as a model, since students often write asymptote and end-behaviour answers inconsistently.

Domain and range identification — students state the domain and range of exponential functions given as graphs or equations.

Intercept-finding — students calculate x- and y-intercepts for exponential equations such as f(x) = 3^(x-2) - 4.

Asymptote identification — students identify the horizontal asymptote (e.g. y = -4) for each exponential function.

End behaviour description — students describe end behaviour using limit notation as x approaches positive and negative infinity.