D1-Evaluating Functions

Front

What is a function?

Back

A function is a relation that assigns exactly one output (y-value) for each input (x-value).

Front

Evaluate f(33) if f(x) = 3x - 5.

Back

f(33) = 3(33) - 5 = 99 - 5 = 94.

Front

If f(x) = 3x - 5, find f(4).

Back

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

Front

If f(x) = 6x + 7, find f(3).

Back

f(3) = 6(3) + 7 = 18 + 7 = 25.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a relation is a function. If a vertical line intersects the graph at more than one point, it is not a function.

Front

Evaluate g(x) = 5 - 6x at x = -5.

Back

g(-5) = 5 - 6(-5) = 5 + 30 = 35.

Front

What does it mean for a relation to be a function?

Back

A relation is a function if each input (x-value) corresponds to exactly one output (y-value).

Front

If f(x) = 2x + 3, find f(0).

Back

f(0) = 2(0) + 3 = 0 + 3 = 3.

Front

What is the definition of a linear function?

Back

A linear function is a function that can be graphically represented as a straight line, typically in the form f(x) = mx + b.

Front

Evaluate f(10) if f(x) = x^2 - 4.

Back

f(10) = 10^2 - 4 = 100 - 4 = 96.