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

Evaluating a function means substituting a specific value for the variable in the function to find the corresponding output.

Front

If f(x) = x^2 - 5x, what is f(4)?

Back

f(4) = 4^2 - 5(4) = 16 - 20 = -4.

Front

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

Back

h(-3) = (-3)^2 + 3(-3) = 9 - 9 = 0.

Front

For the function f(x) = x + 3, what value of x makes f(x) = -5?

Back

To find x, set x + 3 = -5. Solving gives x = -8.

Front

If f(t) = -2t^2 + 1, what is f(2)?

Back

f(2) = -2(2)^2 + 1 = -8 + 1 = -7.

Front

If f(x) = -2x + 13, what is f(10)?

Back

f(10) = -2(10) + 13 = -20 + 13 = -7.

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

What is a linear function?

Back

A linear function is a function that can be graphically represented as a straight line, typically in the form f(x) = mx + b.