Graphing from Word Problems Day 1

• Exponential function

• Desmos exponential regression

• Recursive form of geometric sequence

• Quadratic funtion

The function f(x) has an initial value of 8 and a decay factor of 0.5. Write the equation of the exponential function.

Mathematical Equivalence

ON

The function f(x) has an initial value of 8 and a decay factor of 0.5. Graph the equation using two points.

The function f(x) has an initial value of 4 and a growth factor of 3. Write the equation of the exponential function

Mathematical Equivalence

ON

The function f(x) has an initial value of 4 and a growth factor of 3. Graph the equation using two points

The function f(x) has an initial value of 12 and a growth rate of 25%. Write the equation of the exponential function.

Mathematical Equivalence

ON

The function f(x) has an initial value of 12 and a growth rate of 25%. Graph the equation using two points.

Create the exponential function with the following attributes:

Asymptote: y = 0

Initial value: 3

Point on the graph: (2, 6)

Growth

The function f(x) has an initial value of 2 and a growth factor of 15%. Which graph represents this this equation.

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