Topic 5 Grade Improvement

Front

What is the initial value of the function f(x)=2(4)^x?

Back

The initial value is 2.

Front

If a population doubles every year and starts with 1600 insects, what is the function representing this scenario?

Back

f(x)=1600\cdot2^x

Front

What is the asymptote of the function f(x) = 3(2)^(x-4) + 5?

Back

The asymptote is y=5.

Front

Describe the equation y = 100 * 2^x.

Back

It starts with 100 and is doubling.

Front

What type of function does a table representing a constant rate of change indicate?

Back

Linear.

Front

What is an exponential function?

Back

A function in which the variable is in the exponent, typically in the form f(x) = a*b^x.

Front

What does the term 'asymptote' refer to in a function?

Back

A line that a graph approaches but never touches.

Front

How do you identify the initial value in an exponential function?

Back

The initial value is the value of the function when x=0.

Front

What is the general form of an exponential growth function?

Back

f(x) = a * b^x, where a > 0 and b > 1.

Front

What does it mean for a function to 'double'?

Back

It means that the output value of the function is multiplied by 2 for each unit increase in x.