Evaluating Functions

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

What does it mean to evaluate a function?

Back

To evaluate a function means to find the output value when a specific input value is substituted into the function.

Front

If f(x) = 2x + 3, what is f(1)?

Back

f(1) = 2(1) + 3 = 5.

Front

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

Back

f(4) = 4^2 = 16.

Front

How do you find f(-5) if f(x) = 2x - 3?

Back

f(-5) = 2(-5) - 3 = -10 - 3 = -13.

Front

What is the value of f(0) if f(x) = 3x - 4?

Back

f(0) = 3(0) - 4 = -4.

Front

What is the slope of the function f(x) = 2x + 1?

Back

The slope is 2, indicating that for every 1 unit increase in x, f(x) increases by 2 units.

Front

If f(x) = x + 5, what is f(-2)?

Back

f(-2) = -2 + 5 = 3.

Front

What is the y-intercept of the function f(x) = 3x - 6?

Back

The y-intercept is -6, which is the value of f(0).

Front

Evaluate f(33) if f(x) = x/3.

Back

f(33) = 33/3 = 11.