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 for a given input by substituting the input into the function's formula.

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

How do you evaluate f(x) = 2x + 3 for f(1)?

Back

f(1) = 2(1) + 3 = 5.

Front

What is the formula for a quadratic function?

Back

A quadratic function is typically expressed in the form f(x) = ax^2 + bx + c, where a, b, and c are constants.

Front

Evaluate f(t) = -2t^2 + 1 for f(2).

Back

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

Front

What is an exponential function?

Back

An exponential function is a mathematical function of the form f(x) = a * b^x, where a is a constant, b is the base, and x is the exponent.

Front

Evaluate g(x) = 2^(x-2) for g(5).

Back

g(5) = 2^(5-2) = 2^3 = 8.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a curve is a function by checking if any vertical line intersects the curve at more than one point.