EOC Review Day 4

Front

What is Exponential Decay?

Back

Exponential Decay is a mathematical function that describes a process where a quantity decreases at a rate proportional to its current value, often represented as f(t) = a * e^(-kt), where 'a' is the initial amount, 'k' is a positive constant, and 't' is time.

Front

How do you write (10^4)^5 using a single exponent?

Back

(10^4)^5 = 10^{4*5} = 10^{20}.

Front

Back

@@x^{rac{3}{2}} = ext{sqrt}(x^3) = ext{sqrt}(x^2 imes x) = x imes ext{sqrt}(x)$$.

Front

What is the definition of a function?

Back

A function is a relation that assigns exactly one output for each input. In graph form, it passes the vertical line test.

Front

What does it mean if a graph is 'Not a Function'?

Back

A graph is 'Not a Function' if any vertical line intersects the graph at more than one point.

Front

Back

@@9x^6y^2 imes 5x^2y^3 = 45x^{6+2}y^{2+3} = 45x^8y^5.$$

Front

What is the formula for Exponential Growth?

Back

Exponential Growth is represented as f(t) = a * e^(kt), where 'a' is the initial amount, 'k' is a positive constant, and 't' is time.

Front

What is the Power of a Power Property?

Back

The Power of a Power Property states that (a^m)^n = a^{m*n}.

Front

What is the Product of Powers Property?

Back

The Product of Powers Property states that a^m * a^n = a^{m+n}.

Front

What is the Quotient of Powers Property?

Back

The Quotient of Powers Property states that a^m / a^n = a^{m-n}.