Unit 4 End Review

Front

What is an inverse function?

Back

An inverse function reverses the operation of the original function. If the function f takes an input x and produces an output y, then the inverse function f⁻¹ takes y and produces x.

Front

Are the functions f(x) = 2x + 3 and g(x) = (x - 3)/2 inverses of each other?

Back

No, they are not inverses of each other.

Front

What is the input in the function f(z) = 250 - 55z?

Back

The input is 'Hours'.

Front

How do you find the inverse of the function f(x) = 5x + 1?

Back

To find the inverse, swap x and y and solve for y: x = 5y + 1, which gives y = (x - 1)/5.

Front

What transformation occurs when the Absolute Value Parent Function is shifted up 4 units?

Back

The graph of the function moves vertically upwards by 4 units.

Front

Evaluate f(-5) if f(x) = 5x + 25.

Back

f(-5) = 5(-5) + 25 = 0.

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 line represent in a linear function?

Back

The slope represents the rate of change of the function; it indicates how much y changes for a unit change in x.

Front

What is the y-intercept of the function f(x) = 3x - 7?

Back

The y-intercept is -7, which is the value of f(0).

Front

How do you evaluate a function at a specific point?

Back

To evaluate a function at a specific point, substitute the value of the variable into the function and simplify.