Evaluating Functions

Front

What is a function?

Back

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

Front

What does f(x) represent in a function?

Back

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

Front

How do you evaluate a function at a specific value?

Back

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

Front

What is the difference between x value and y value in a function?

Back

The x value is the input to the function, while the y value is the output.

Front

If f(x) = 6, what does this indicate about the function?

Back

This indicates that for some input x, the output of the function is 6.

Front

What does it mean to find f(-2)?

Back

Finding f(-2) means to substitute -2 for x in the function and calculate the output.

Front

What is the significance of the equation g(x) = 4x - 7?

Back

This equation defines a linear function where the slope is 4 and the y-intercept is -7.

Front

How do you determine if you are given an x value or a y value in a function?

Back

You determine this by looking at the context; if the equation is set equal to a number, that number is the y value.

Front

What is the output of g(5) if g(x) = 4x - 7?

Back

g(5) = 4(5) - 7 = 20 - 7 = 13.

Front

What does it mean to solve for x in the equation g(x) = 13?

Back

It means to find the input value x that makes the output of the function equal to 13.