What function g describes the graph of f after the given transformation?
f(x) = IxI + 1; translated 3 units down and 2 units left.

Selena needs at least 22 subway rides for the month. She has two options for buying subways cards. Write a function that represents the situation

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).

Find the vertex of the function. f(x) = Ix + 7I – 2

Find the vertex of the function. f(x) = IxI – 2

The piecewise-defined function f(x) is shown.
f(x) = x + 2 , x ≤ 0
f(x) = 4x , x > 0
What is f(−3)?

Evaluate the following piecewise function for x = -1 and x = 6.

Find the vertex of the function. f(x) = -3Ix + 1I – 5

Express the function as a piecewise-defined function.
f(x) = -1.5 IxI

What function has the same graph as f(x) = 4Ix – 2I + 2?

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

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 = 3?

Express the function as a piecewise-defined function.
f(x) = 0.5 IxI

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.