Linear and Quadratic Functions Quiz

What is the shape of a Linear function?

• A straight line

• A U-shape

• A V-shape

• An exponential curve

Answer explanation

A Linear function is represented by a straight line on a graph, making the correct shape choice a straight line.

Tags

CCSS.HSF-IF.C.7A

What is the domain of ALL Linear functions?

• {x : -∞ < x < ∞}

• {x : 0 < x < ∞}

• {x : -∞ < y < ∞}

• {x : 0 < y < ∞}

Answer explanation

The domain of all linear functions is {x : -∞ < x < ∞}, which includes all real numbers from negative infinity to positive infinity.

What is the parent function for Quadratic functions?

• y = x^2

• y = x

• y = |x|

• y = e^x

Answer explanation

The parent function for Quadratic functions is y = x^2 because it represents the most basic form of a quadratic function with a squared variable term.

What does a - sign indicate in the transformation of Quadratic functions?

• A vertical shift down

• A vertical shift up

• A reflection

• A horizontal shift

Answer explanation

A - sign in the transformation of Quadratic functions indicates a vertical shift down.

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

• {y : 0 ≤ y < ∞}

• {y : -∞ < y < ∞}

• {y : -∞ < y ≤ 0}

• {y : -∞ < y < ∞}

Answer explanation

The range of the function y = x^2 is {y : 0 ≤ y < ∞}, as the function will always output non-negative values starting from 0 and going towards positive infinity.

What does a + sign indicate in the transformation of Quadratic functions?

• A vertical shift up

• A vertical shift down

• A reflection

• A horizontal shift

Answer explanation

A + sign in the transformation of Quadratic functions indicates a vertical shift up.

What is the parent function for Absolute Value functions?

• y = |x|

• y = x^2

• y = a(b)^x

• y = x + 1

Answer explanation

The parent function for Absolute Value functions is y = |x|, where the absolute value function represents the distance of a number from zero on the number line. This is the correct choice.

What shape does the graph of an Absolute Value function have?

• V-shape

• U-shape

• S-shape

• L-shape

Answer explanation

The graph of an Absolute Value function has a V-shape, making the correct answer choice V-shape.

Tags

CCSS.HSF-IF.C.7D

What is the domain of ALL Absolute Value functions?

• {x : -∞ < x < ∞}

• {x : 0 ≤ x < ∞}

• {x : -∞ < x ≤ 0}

• {x : 0 < x < ∞}

Answer explanation

The domain of ALL Absolute Value functions is {x : -∞ < x < ∞}, as it includes all real numbers from negative infinity to positive infinity.

Tags

CCSS.HSF-IF.C.7D

What does a positive sign (+) indicate in the transformation of an Absolute Value function?

• A vertical shift up

• A vertical shift down

• A horizontal shift left

• A horizontal shift right

Answer explanation

A positive sign (+) in the transformation of an Absolute Value function indicates a vertical shift up.