Exploring Characteristics of Parent Functions

What is the domain of the linear parent function?

• All positive numbers

• Only integers

• All real numbers

• All negative numbers

Which of the following is true about the quadratic parent function?

• It is symmetrical about the y-axis

• Its range is all real numbers

• Its domain is restricted to positive numbers

• It is an odd function

What is the equation of the absolute value parent function?

• f(x) = x^3

• f(x) = |x|

• f(x) = x^2

• f(x) = √x

Which parent function is always increasing and has a domain and range of all real numbers?

• Cubic

• Quadratic

• Linear

• Absolute Value

Why is the domain of the square root parent function restricted to non-negative values?

• Because the function is not defined for negative x values

• Because it has a vertical asymptote

• Because it is symmetrical about the origin

• Because it is an odd function

What is the equation of the cube root parent function?

• f(x) = ³√x

• f(x) = x^3

• f(x) = √x

• f(x) = 1/x

Which of the following statements is true about the exponential parent function?

• It is symmetrical about the y-axis

• Its range includes all real numbers

• It has a horizontal asymptote at y = 0

• It is neither even nor odd

What is the base of the logarithmic parent function in the equation f(x) = log₂(x)?

• 2

• 10

• e

• x

Which parent function has both vertical and horizontal asymptotes?

• Cubic

• Reciprocal

• Quadratic

• Linear

What is the range of the reciprocal parent function?

• All real numbers

• All real numbers except y = 0

• All positive numbers

• All negative numbers