Evaluate the following piecewise function for x = 0 and x = 5
f(x) = 2x - 3 , x < 0
f(x) = x² - 1 , x = 0
f(x) = x + 3 , x > 0

The function g is the transformation of f(x) = IxI given by g(x) = -f(x + 15) – 7. Find the value of f(x) and g(x) for x = -15?

Observe the problem carefully and notice where we have to use just x and where we have to use a function of x.

What function g describes the graph of f after the given transformation?
f(x) = IxI; translated 2 units up and 1 unit right

Try to visualize the problem.

Write a piecewise-defined function for the graph below

The most commonly used forms of the equation of straight line are y = mx + c and ax + by = c. Some other forms are point-slope form, slope-intercept form, general form, standard form, etc.

Describe the transformation for the pair of step functions.

Read the problem multiple times in order to understand the problem.

Write a second step function that translates the graph of the step function shown down 6 units.

Read the problem multiple times in order to understand the language of the problem.

Write a function for the graph.

A function is generally denoted by f(x) where x is the input. The general representation of a function is y = f(x).

The graph of the relationship between the distance traveled and the cost of a car rental is shown.

list the interval on which the graph is increasing, and explain what it represents

The graph of the relationship between the distance traveled and the cost of a car rental is shown.

List the interval at which the graph is constant and explain what it represents

Find the vertex of the function. f(x) = Ix – 2I + 4

A piecewise-defined function is shown.

select the correct option mentioned below.
Statement 1: If the value of n changes, then the range of the function also changes.
Statement 2: If the value of n = 4, then the range is f(x) ≤ 2.

A function f is defined by the rule -0.5x + 1 for the domain x < 1 and by the rule x for the domain x ≥ 1. Write the piecewise-defined function f using function notation

Express the function as a piecewise-defined function.
f(x) = -2 IxI

Express the function as a piecewise-defined function.
f(x) = 5IxI

The evaluation of the function f(x) = [x], x = 2.65 is ____.

The piecewise-defined function of f(x) = 2|x| is _____.