Vocabulary
Exponential Vs. Linear
Growth or Decay
Concepts & Skills
100

The difference between an actual y-value and a predicted y-value.

What is residual

100

Words such as depreciate, downward trend, reduce by a percent, etc., all refer to this type of function.

What is exponential decay.

100

y= 88 (0.9)t

y= 6(2)t

y= 21(1.01)t

Which of the above represent exponential decay?

What is y=88(0.9)t

100

The b value of an exponential function represents this.

What is the rate of growth or decay.

200

The type of function where the values change by equal differences over equal intervals.

What is a linear function

200
y=mx+b is this kind of function.

What is linear.

200

Exponential growth has what a b value above this number.

What is 1

200

The a value of an exponential function represents this.

What is the initial value.

300

The type of function where the values change by equal factors over equal intervals.

What is an exponential function

300

How do exponential functions change over equal intervals?

What is by equal factors (or percentage change)

300
Exponential decay has a b value between these two values.

What is between 0 and 1.

300

The initial value of the exponential growth or decay function can be found on the graph as this key feature.

What is the y-intercept.

400

The statistical method used to fit an exponential function to a set of bivariate data.

What is exponential regression

400

How do linear functions change over equal intervals?

What is by equal differences

400

If Janet puts money into an account with a 5% interest rate, she can expect to see what kind of exponential change?

What is exponential growth.

400

This is the calculation for the b value in an exponential growth function.

What is 1 plus the decimal conversion of the rate of change.

500

A function defined by multiple sub-functions.

What is a piecewise function

500

The function modeled by y=5,665(0.35)x represents what initial amount and what kind and percent rate of change?

What is the initial amount of $5,665 and the decay rate of 65%.

500

John bought a car for $35,000 last year.  Each year, the car depreciates by 7%.  What is the formula to represent its current value?  How much is it worth?

What is y=35,000(.93)for a value of $32,550

500

This is the calculation for the b value in an exponential decay function.

What is 1 minus the decimal conversion of the rate of change.

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