FM1 Final Exam Review #1

Front

Find h(8).

Back

h(8) = 5

Front

Given the function f(x) = -4(2)^x and g(x) = -3x + 9, find the value of f(2) · g(5).

Back

f(2) = -16, g(5) = -6; f(2) · g(5) = 96

Front

Find f(-2), given f(x) = -2x + 1.

Back

f(-2) = 5

Front

What is the average rate of change given the function f(x) = 2x^2 + 6x - 5 from 2 to 4?

Back

Average rate of change = 18

Front

Define a function.

Back

A function is a relation that assigns exactly one output for each input.

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

Explain the concept of average rate of change.

Back

The average rate of change of a function over an interval is the change in the function's value divided by the change in the input value.

Front

What is an exponential function?

Back

An exponential function is a mathematical function of the form f(x) = a * b^x, where a is a constant, b is a positive real number, and x is the exponent.

Front

What does it mean for a function to be linear?

Back

A linear function is a function that can be graphically represented as a straight line, typically in the form f(x) = mx + b.