Unit 1 Review

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 does it mean for two graphs to be inverses?

Back

Two graphs are inverses if one graph reflects the other across the line y = x.

Front

How do you find the inverse of a function?

Back

To find the inverse of a function, switch the x's and y's in the equation.

Front

If a function describes Mr. Peng's clients as f(x) = 2x + 3, what is the inverse function?

Back

The inverse function is f(x) = (x - 3)/2.

Front

What is the inverse of g(x) if g(x) = 2x + 3?

Back

The inverse g^{-1}(x) is g^{-1}(x) = (x - 3)/2.

Front

What is the range of the function f(x) = 2x + 3?

Back

The range of f(x) = 2x + 3 is all real numbers.

Front

What is the significance of the point (0,3) in the function f(x) = 2x + 3?

Back

The point (0,3) is the y-intercept of the function.

Front

What does it mean to evaluate a function at a specific point?

Back

Evaluating a function at a specific point means substituting that point into the function to find the output.

Front

If f(x) = 2x + 3, what is f(2)?

Back

f(2) = 2(2) + 3 = 7.

Front

What is the inverse of the function f(x) = x^2 for x >= 0?

Back

The inverse is f^{-1}(x) = sqrt{x}.