NCVPS Evaluating Functions

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input from a set of inputs.

Front

What does f(x) represent in a function?

Back

f(x) represents the output of the function f for the input x.

Front

How do you evaluate a function at a specific point?

Back

To evaluate a function at a specific point, substitute the value of the input into the function's equation.

Front

What is the value of g(5) if g(x) = 10 - 3x?

Back

g(5) = 10 - 3(5) = 10 - 15 = -5.

Front

If f(x) = 3x - 7, what is f(6)?

Back

f(6) = 3(6) - 7 = 18 - 7 = 11.

Front

Evaluate f(4) if f(x) = 4x + 5.

Back

f(4) = 4(4) + 5 = 16 + 5 = 21.

Front

What is the output of f(2) if f(x) = 4x?

Back

f(2) = 4(2) = 8.

Front

If f(-2) = 3, what is the value of x?

Back

To find x, set f(-2) = 3 and solve for x.

Front

What is the slope of the function f(x) = 3x - 7?

Back

The slope is 3, which indicates the rate of change of the function.

Front

What is the y-intercept of the function f(x) = 3x - 7?

Back

The y-intercept is -7, which is the value of f(0).