Evaluate Functions

Front

What is a function in mathematics?

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 calculate the output of the function for a given input value.

Front

How do you find f(x) for a linear function?

Back

To find f(x) for a linear function, substitute the value of x into the function's equation and simplify.

Front

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

Back

The slope-intercept form of a linear function is given by f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

What is the y-intercept of a function?

Back

The y-intercept of a function is the value of f(x) when x = 0.

Front

How do you determine the x-value for a given f(x)?

Back

To determine the x-value for a given f(x), set the function equal to the desired output and solve for x.

Front

What is the value of f(6) for the function f(x)=3x-8?

Back

f(6) = 3(6) - 8 = 18 - 8 = 10.

Front

What is the value of f(0) for the function f(x)=2x+3?

Back

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

Front

How do you evaluate f(5) for the function f(x)=3x-8?

Back

f(5) = 3(5) - 8 = 15 - 8 = 7.

Front

What is the process to find the inverse of a function?

Back

To find the inverse of a function, swap the input and output values and solve for the new output.