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 f(x) represent in a function?

Back

f(x) represents the output of the function f for a given 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 f(-3) if f(x) = 4x + 5?

Back

f(-3) = 4(-3) + 5 = -12 + 5 = -7.

Front

If f(x) = x + 7, what is f(5)?

Back

f(5) = 5 + 7 = 12.

Front

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

Back

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

Front

How do you find the y-intercept of a function?

Back

To find the y-intercept, set x = 0 in the function and solve for y.

Front

What is the value of f(4) if f(x) = 4x + 5?

Back

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

Front

If h(x) = -5x + 7, what is h(2)?

Back

h(2) = -5(2) + 7 = -10 + 7 = -3.

Front

What does it mean for a function to be linear?

Back

A function is linear if it can be graphically represented as a straight line, meaning it has a constant rate of change.