Evaluating Functions & Absolute Value Functions

Front

What is an absolute value function?

Back

Front

What does the vertex of an absolute value function represent?

Back

The vertex of an absolute value function is the point where the graph changes direction. It represents the minimum or maximum value of the function.

Front

Back

Front

What is the general form of an absolute value function?

Back

Front

Evaluate the function f(x) = 3x - 5 at x = 4.

Back

f(4) = 3(4) - 5 = 12 - 5 = 7.

Front

Back

Changing the value of 'a' affects the steepness and direction of the graph. If 'a' is positive, the graph opens upwards; if 'a' is negative, it opens downwards.

Front

How do you evaluate the function f(x) = -2x + 13 at x = 10?

Back

f(10) = -2(10) + 13 = -20 + 13 = -7.

Front

Back

The vertex is at (4, 2).

Front

Back

Front

How do you find the sum of two functions, f(x) and g(x)?

Back

To find the sum of two functions, you add their outputs: (f + g)(x) = f(x) + g(x).