Semester Final Review

Front

What is the equation of the line with a slope of -4/5 and a y-intercept of 3?

Back

y = -\frac{4}{5}x + 3

Front

What is the general form of an exponential function?

Back

f(x) = a(b^x), where a is the initial value and b is the growth factor.

Front

How do you determine the initial value of a depreciating asset?

Back

The initial value is the purchase price before depreciation begins.

Front

What is the formula for calculating depreciation?

Back

Depreciation = Initial Value × (1 - Rate) ^ Years.

Front

What is the difference between continuous and discrete functions?

Back

Continuous functions can take any value within a range, while discrete functions can only take specific values.

Front

What is the domain of a function?

Back

The set of all possible input values (x-values) for the function.

Front

What is the range of a function?

Back

The set of all possible output values (y-values) for the function.

Front

If Mayce earns $20 plus $7 per hour, what is her total earnings function?

Back

e(h) = 20 + 7h, where h is the number of hours worked.

Front

What is the maximum number of hours Mayce can work?

Back

20 hours.

Front

What is the value of h(x) = 25(5^x) when x = 2?

Back

h(2) = 25(5^2) = 25 × 25 = 625.