Dicenso Key Concepts/ Vocabulary 2:4-6

(-infinity,0)

The function f(x) = x^2 is decreasing on the interval ____________.

y

Suppose that the graph of the function f is known. The the graph of y= f(-x) may be obtained by a reflection over the _____ axis of the graph of the function f.

Horizontal, right

Suppose that the graph of the function f is known. Then the graph of y=f(x-2) may be obtained by a _____ shift of the graph of f and the graph of x to the ____ distance of two units.

Vertical, up

Suppose that the graph of the function g is known. The graph of y =g(x) +2 may be obtained by a _____ shift of the graph of g ______ a distance of two units.

True

The cube function is odd and increasing on the interval (-infinity, infinity), true or false

False

The cube root function is odd and is decreasing on the interval (-infinity, infinity), true or false

False

The domain and range of the set in a reciprocal function is all real numbers. True or false

True

The graph of y=-f(x) is a reflection about the x-axis of the graph of y=f(x). True or false

False (left)

To obtain the graph of f(x) = sqrt(x+2), shift the graph of y = sqrt(x) horizontally to the right 2 units. True or false

True

To obtain the graph of f(x) = x^3 + 5, shift the graph of y= x^3 vertically up 5 units. True or false

Piecewise Functions

When functions are defined with more than one equation they are called ___________.