Final Review Part 1 DOL

Front

What is an inverse function?

Back

An inverse function is a function that reverses the operation of the original function. If the function f takes an input x to produce an output y, then the inverse function f⁻¹ takes y back to x.

Front

What is the vertex of a parabola?

Back

The vertex of a parabola is the point where the parabola changes direction. It is the highest or lowest point of the graph, depending on whether it opens upwards or downwards.

Front

How do you solve a system of equations?

Back

To solve a system of equations, you can use methods such as substitution, elimination, or graphing to find the values of the variables that satisfy all equations in the system.

Front

What are x-intercepts?

Back

X-intercepts are the points where a graph crosses the x-axis. At these points, the value of y is zero.

Front

How do you add complex numbers?

Back

To add complex numbers, combine the real parts and the imaginary parts separately. For example, (a + bi) + (c + di) = (a + c) + (b + d)i.

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is ax² + bx + c = 0, where a, b, and c are constants and a ≠ 0.

Front

What is the quadratic formula?

Back

The quadratic formula is used to find the roots of a quadratic equation and is given by x = (-b ± √(b² - 4ac)) / (2a).

Front

What does it mean for two functions to be inverses?

Back

Two functions f and g are inverses if f(g(x)) = x and g(f(x)) = x for all x in the domain of f and g.

Front

What is the axis of symmetry in a parabola?

Back

The axis of symmetry is a vertical line that divides the parabola into two mirror-image halves. It passes through the vertex.

Front

How do you find the y-intercept of a function?

Back

To find the y-intercept of a function, set x = 0 and solve for y.