Question

Determine the initial value, y-intercept, and growth/decay rate of each exponential function below. 1. Suppose f(x)=5⋅1.84^x. Initial value: y-intercept: Growth/Decay rate: % 2. Suppose f(x)=17⋅0.74^x. Initial value: y-intercept: Growth/Decay rate: 3. Suppose f(x)=8⋅2.38^x. Initial value: y-intercept: Growth/Decay rate: 4. Suppose f(x)=15e^9x. Initial value: y-intercept: Growth/Decay rate: %

Answer 1

The initial value, y-intercept, and growth/decay rate of each exponential function are provided in a step-by-step explanation.

Step-by-step explanation:

1. For the exponential function f(x) = 5⋅1.84^x:

• Initial value: 5
• y-intercept: 5
• Growth/Decay rate: 184%

2. For the exponential function f(x) = 17⋅0.74^x:

• Initial value: 17
• y-intercept: 17
• Growth/Decay rate: 26%

3. For the exponential function f(x) = 8⋅2.38^x:

• Initial value: 8
• y-intercept: 8
• Growth/Decay rate: 238%

4. For the exponential function f(x) = 15e^(9x):