Evaluating Functions

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input from a set of inputs.

Front

What does it mean to evaluate a function?

Back

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

Front

What is the order of operations?

Back

The order of operations is a set of rules that determines the sequence in which calculations are performed: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Front

If f(x) = 2(3^x) + 1, what is f(2)?

Back

f(2) = 2(3^2) + 1 = 2(9) + 1 = 19.

Front

What is the formula for a quadratic function?

Back

A quadratic function is generally expressed as f(t) = at^2 + bt + c, where a, b, and c are constants.

Front

How do you evaluate f(t) = -2t^2 + 1 at t = -3?

Back

f(-3) = -2(-3)^2 + 1 = -2(9) + 1 = -18 + 1 = -17.

Front

What is the value of h(x) = x^2 + 3x at x = -3?

Back

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

Front

What is the linear function formula?

Back

A linear function is expressed as f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

Evaluate f(x) = 3x + 1 at x = 2.

Back

f(2) = 3(2) + 1 = 6 + 1 = 7.

Front

What is the formula for a cubic function?

Back

A cubic function is generally expressed as h(x) = ax^3 + bx^2 + cx + d, where a, b, c, and d are constants.