Alg 1 Final Review #1

Front

What does the value 7500 represent in the function g(t) = 7500(1.05)^t?

Back

Initial population.

Front

What is the solution to the equation 3^{(2x+4)}=81?

Back

0.

Front

What does the value 12000 represent in the function h(t) = 12000(1.03)^t?

Back

Initial population.

Front

What are the solutions of the quadratic equation x^2 + 6x + 7 = 0?

Back

x = -3 ± √2.

Front

Using the exponential function f(x) = ab^x, what is the population of bacteria after 5 hours if it doubles every hour and starts with 100 bacteria?

Back

3200.

Front

Define exponential growth.

Back

Exponential growth occurs when the growth rate of a value is proportional to its current value, leading to growth that accelerates over time.

Front

What is the general form of an exponential function?

Back

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

Front

What is the growth factor in the function g(t) = 7500(1.05)^t?

Back

1.05.

Front

How do you find the vertex of a quadratic equation in standard form?

Back

The vertex can be found using the formula x = -b/(2a) for the equation ax^2 + bx + c.

Front

What is the quadratic formula used for?

Back

The quadratic formula is used to find the solutions of a quadratic equation in the form ax^2 + bx + c = 0.