Podcast
Questions and Answers
What is the equation of the Linear Parent Function?
What is the equation of the Linear Parent Function?
- y = ax + b
- y = √x
- y = x (correct)
- y = x^2
What is the simplest parabola represented by the Quadratic Parent Function?
What is the simplest parabola represented by the Quadratic Parent Function?
y = x^2
The Absolute Value Function contains an algebraic expression without absolute value symbols.
The Absolute Value Function contains an algebraic expression without absolute value symbols.
False (B)
Where do you start graphing the Cubic Parent Function?
Where do you start graphing the Cubic Parent Function?
What type of function is the Logarithmic Parent Function the inverse of?
What type of function is the Logarithmic Parent Function the inverse of?
What is the function notation for the Rational Parent Function?
What is the function notation for the Rational Parent Function?
Exponential functions have the form y = _____
Exponential functions have the form y = _____
What is the parent function for functions of the form f(x) = √x - a + b?
What is the parent function for functions of the form f(x) = √x - a + b?
Flashcards are hidden until you start studying
Study Notes
Linear Parent Function
- Defined by the equation y = x with a constant slope.
- Domain and range include all real numbers.
Quadratic Parent Function
- Simplest form is y = x^2, resulting in a parabola.
- Graph passes through the origin (0,0).
- Situated primarily in Quadrants I and II.
Absolute Value Function
- Features algebraic expressions enclosed within absolute value symbols.
- Outputs only non-negative values regardless of the input.
Cubic Parent Function
- Expressed as f(x) = x^3, starting at the origin (0, 0).
- Characterizes a curve that extends into all four quadrants.
Logarithmic Parent Function
- Functions such as y = loga x or y = ln x act as inverses to exponential functions.
- Essential for solving equations involving exponentials.
Rational Parent Function
- Defined by f(x) = 1/x, resulting in a hyperbola.
- Domain and range exclude the value 0, as it causes the function to be undefined.
- Excluded values represent x-values that make f(x) undefined.
Exponential Parent Function
- Formulated as y = ab^x where a and b are positive, and b ≠1.
- Represents growth or decay processes, fundamental in various scientific disciplines.
Square Root Function
- Parent function is defined as f(x) = √x, which yields non-negative outputs.
- Graph starts at the origin (0,0) and opens to the right.
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
