PC - Sem 1 Unit 1 review

Front

What transformation occurs when f(x) = x² is replaced with 2⋅f(x)?

Back

Vertical Stretch by a factor of 2.

Front

Find the inverse of f(x) = -4x - 12.

Back

f⁻¹(x) = -1/4x - 3.

Front

Where is the piecewise function discontinuous if it has a break at x = 2?

Back

x = 2.

Front

Are the functions f(x) = -4x - 12 and g(x) = 1/4x + 3 inverse functions?

Back

No.

Front

Determine the interval in which the function is INCREASING if it is increasing for x > -3.

Back

(-3, ∞).

Front

What is a vertical stretch in terms of function transformation?

Back

A vertical stretch occurs when a function is multiplied by a factor greater than 1.

Front

What is the definition of an inverse function?

Back

An inverse function reverses the effect of the original function.

Front

How do you find the inverse of a linear function?

Back

Swap x and y, then solve for y.

Front

What does it mean for a function to be discontinuous?

Back

A function is discontinuous if there is a break, jump, or hole in its graph.

Front

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

Back

The vertex represents the maximum or minimum point of the parabola.