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

To evaluate a function means to find the output value when a specific input value is substituted into the function.

Front

Given the function f(x) = x + 3, what is f(-5)?

Back

f(-5) = -5 + 3 = -2.

Front

How do you find the value of g(2) if g(x) is defined?

Back

Substitute 2 into the function g(x) and calculate the output.

Front

If f(x) = -2, how do you find x?

Back

You need to solve the equation f(x) = -2 for x.

Front

What is the formula for h(x) = -5x + 7?

Back

This is a linear function where -5 is the slope and 7 is the y-intercept.

Front

Evaluate h(2) if h(x) = -5x + 7.

Back

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

Front

What is the quadratic function f(x) = 2x^2 + 5x - 3?

Back

A quadratic function is a polynomial function of degree 2, which can be represented in the form f(x) = ax^2 + bx + c.

Front

How do you evaluate f(-1) for the function f(x) = 2x^2 + 5x - 3?

Back

Substitute -1 into the function: f(-1) = 2(-1)^2 + 5(-1) - 3 = 2 - 5 - 3 = -6.

Front

What is the output of a function when the input is zero?

Back

The output of a function when the input is zero is found by evaluating the function at x = 0.