Understanding Functions of X

What is a key characteristic of a function in terms of x and y values?

• Each y value can have multiple x values.

• Each x value has exactly one y value.

• Each y value has exactly one x value.

• Each x value can have multiple y values.

What does the vertical line test help determine?

• If a graph has a slope.

• If a graph is a circle.

• If a graph represents a function.

• If a graph is a straight line.

In Example 1, what indicates that y is not a function of x?

• The equation is linear.

• The equation has a square root.

• Multiple y values for a single x value.

• The equation is quadratic.

In Example 2, what type of graph is used to determine if y is a function of x?

• A parabola.

• A circle.

• A hyperbola.

• A line.

How does the graph of an absolute value function typically appear?

• As a circle.

• As a parabola.

• As a straight line.

• As a V-shape.

In Example 4, what does the absolute value of y equal to x + 2 indicate?

• Y is always positive.

• Y can be positive or negative for a given x.

• Y is zero.

• Y is always negative.

What form is the equation y = 3x + 1 in?

• Standard form.

• Quadratic form.

• Slope-intercept form.

• Vertex form.

In Example 6, what does taking the fourth root of both sides of the equation indicate?

• There is only one solution.

• There are no solutions.

• There are two possible solutions.

• The solution is negative.

What does the equation of a circle typically fail?

• The slope test.

• The horizontal line test.

• The vertical line test.

• The intercept test.

In Example 7, what is the center of the circle given by the equation?

• (0, 0)

• (2, -3)

• (1, 1)

• (-2, 3)