Exploring Exponential Functions and Their Real-World Applications

What is the form of an exponential function?

• y = mx + b

• y = x^2 + bx + c

• y = ab^x

• y = a(b^x)

What does the 'a' in the exponential function represent?

• The rate of growth or decay

• The slope of the function

• The y-intercept or initial value

• The x-intercept

What does the 'b' in the exponential function equation indicate?

• The slope of the line

• The x-intercept

• The y-intercept

• The growth or decay ratio

How can you tell if an exponential function represents growth?

• When b = 0

• When b > 1

• When a > 1

• When b < 1

In an exponential decay function, what is true about 'b'?

• b = 1

• b < 1

• b = 0

• b > 1

How is exponential growth represented in a real-world context?

• A quantity decreases by a fixed percent over time

• A quantity increases by a fixed percent over time

• A quantity remains constant over time

• A quantity increases by a fixed amount over time

What is the asymptote of an exponential function in Algebra 1?

• x = 0

• y = 1

• y = 0

• x = 1

What does the y-intercept of an exponential function graph represent?

• The slope of the function

• The initial or starting value

• The maximum value of the function

• The rate of change

What is the equation of the asymptote for exponential functions in Algebra 1?

• y = 0

• y = 1

• x = 1

• x = 0

Which example represents exponential decay?

• y = 3(2^x)

• y = 5(1.5^x)

• y = 2(3^x)

• y = 10(1/2^x)