Day 1 Review

Front

For the function: f(x) = 7(x - 11), what is f(16)?

Back

f(16) = 7(16 - 11) = 7(5) = 35.

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

For the function g(x) = -2x^2 + 9, what is g(6)?

Back

g(6) = -2(6^2) + 9 = -2(36) + 9 = -72 + 9 = -63.

Front

Is the relation {(1, 2), (2, 3), (1, 4)} a function?

Back

No, because the input value 1 is associated with two different output values (2 and 4).

Front

What is the DOMAIN of the graph shown in the question?

Back

The DOMAIN is the set of x-values that the graph covers. In this case, it is (-4, 2].

Front

What does it mean for a relation to be a function?

Back

A relation is a function if every input value (x) is associated with exactly one output value (y).

Front

How do you find the value of a function at a specific point?

Back

To find the value of a function at a specific point, substitute the x-value into the function's equation and simplify.

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 the difference between an open interval and a closed interval?

Back

An open interval (a, b) does not include the endpoints a and b, while a closed interval [a, b] includes both endpoints.

Front

What is a quadratic function?

Back

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