LDME Unit 4 Lesson 4 Evaluating Functions

Front

What is the definition of 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 at a specific point?

Back

Evaluating a function at a specific point means substituting the input value into the function's equation to find the corresponding output value.

Front

How do you evaluate f(x) = 3x - 8 at x = 6?

Back

Substitute 6 for x: f(6) = 3(6) - 8 = 18 - 8 = 10.

Front

What is the output of the function f(x) = 2x + 3 when x = 0?

Back

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

Front

If h(x) = 3x - 9, what is h(2)?

Back

h(2) = 3(2) - 9 = 6 - 9 = -3.

Front

How do you evaluate f(x) = 6x - 10 at x = 10?

Back

f(10) = 6(10) - 10 = 60 - 10 = 50.

Front

What is the value of f(2) for the function f(x) = 3x + 1?

Back

f(2) = 3(2) + 1 = 6 + 1 = 7.

Front

What is the slope-intercept form of a linear function?

Back

The slope-intercept form is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the y-intercept of the function f(x) = 3x - 8?

Back

The y-intercept is -8, which is the value of f(0).

Front

How can you determine if a relation is a function?

Back

A relation is a function if every input has exactly one output, which can be checked using the vertical line test on its graph.