Parent Functions

Identify the parent function of the equation y = √x.

• Linear function

• Quadratic function

• Square root function

• Exponential function

What is the domain of the square root function y = √x?

• All x values from -1 to 1.

• All x values from 0 to infinity.

• All x values from 0 to 10.

• All x values from -infinity to infinity.

What is the range of the cubic function y = x^3?

• All y values, from negative to positive infinity.

• Only positive y values.

• Only negative y values.

• y values between -1 and 1.

• Quadratic function

• Linear function

• Cubic function

• Exponential function

How does the graph of a linear function look?

• It is a straight line.

• It is a curved line.

• It consists of multiple lines.

• It is a zigzag pattern.

What is a parent function?

• A parent function is the simplest form of a function in a family of functions, representing the basic shape of the graph.

• A parent function is a function that has no variables and is always constant.

• A parent function is a complex function that includes multiple variables and parameters.

• A parent function is a function that only exists in theoretical mathematics.

What is the domain of the absolute value function y = |x|?

• All x values, from left to right.

• Only positive x values.

• Only negative x values.

• x values between -1 and 1.

What is the range of the quadratic function y = x^2?

• All y values from 0 to infinity.

• All real numbers.

• All y values less than 0.

• All y values greater than 1.

What is the effect of a negative sign in front of a parent function?

• It reflects the graph across the x-axis.

• It shifts the graph to the right.

• It stretches the graph vertically.

• It reflects the graph across the y-axis.

What is the significance of the vertex in a quadratic function?

• The vertex is the point where the graph intersects the x-axis.

• The vertex is the highest or lowest point on the graph, depending on the direction of the parabola.

• The vertex represents the average value of the function.

• The vertex is the point where the graph changes direction.