Exponential functions are a crucial concept in Algebra 1, characterized by rapid growth or decay. These functions have the form y = a * b^x, where 'a' is the initial value, 'b' is the base, and 'x' is the exponent. Key features include the domain (all real numbers), range (dependent on growth or decay), y-intercept, and horizontal asymptote. **Analyzing graphs of exponential functions in algebra 1** involves identifying these characteristics and understanding transformations such as shifts, reflections, and stretches. **Exponential graphs** can represent various real-world scenarios, making them essential for modeling growth and decay in many fields.

• The basic form of an exponential function is y = a * b^x, with 'a' as the initial value and 'b' as the base.

• Exponential functions can show either rapid growth (b > 1) or decay (0 < b < 1).

• Key characteristics include domain, range, y-intercept, and horizontal asymptote.

• Transformations can alter the shape and position of exponential graphs.

• Analyzing these graphs involves determining initial values, identifying growth or decay, and recognizing transformations.