LT 13 and 14 Practice

Front

What is the formula for the function f(x) in the equation f(x)=10^x?

Back

f(x) = 10^x is an exponential function where the base is 10.

Front

What is the formula for the function g(x) in the equation g(x)=2?

Back

g(x) = 2 is a constant function.

Front

How do you find (f/g)(n) for f(x)=10^x and g(x)=2?

Back

(f/g)(n) = f(n)/g(n) = 10^n/2.

Front

Which function has the greatest rate of change from [0, 1]: f(x)=2^x or g(x)=5x-1?

Back

g(x) has the greatest rate of change because it is linear with a slope of 5.

Front

What is the rate of change of a linear function?

Back

The rate of change of a linear function is constant.

Front

Which type of function has a constant rate of change?

Back

Linear functions have a constant rate of change.

Front

What is the sum of the functions f(x)=9-3x and g(x)=5x-7?

Back

(f+g)(x) = 2x + 2.

Front

What is the definition of a linear function?

Back

A linear function is a function that can be graphically represented as a straight line.

Front

What is the general form of a linear function?

Back

The general form of a linear function is f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope of a linear function represent?

Back

The slope represents the rate of change of the function.