Precalc Fall Final 2024

Front

What is the domain and range of the function {(0,1), (1,-3), (2,-4), (-4,1)}?

Back

Domain: {-4, 0, 1, 2}; Range: {-4, -3, 1}

Front

Which inequality represents the graph of y ≥ -3/4 x + 3?

Back

y ≥ -3/4 x + 3

Front

If f(x) = 2x and g(x) = 2x^2 - 1, what is f(g(3))?

Back

34

Front

How do you express the inequality y ≥ -(x + 2)^2 - 4?

Back

Graphically represents a parabola opening downwards with vertex at (-2, -4)

Front

What is the inverse of f(x) = -4x - 12?

Back

f^(-1)(x) = -1/4x - 3

Front

Define the domain of a function.

Back

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

Front

Define the range of a function.

Back

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

Front

What is the significance of the slope in a linear equation?

Back

The slope indicates the steepness and direction of the line; a positive slope means the line rises, while a negative slope means it falls.

Front

How do you find the inverse of a function algebraically?

Back

Replace f(x) with y, swap x and y, and solve for y.

Front

What does it mean for a function to be one-to-one?

Back

A function is one-to-one if it never assigns the same value to two different domain elements.