BM #2 Flashcardizz

Front

Find f(-3) if f(x) = 5x + 2.

Back

f(-3) = 5(-3) + 2 = -15 + 2 = -13.

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input.

Front

Is the relation {(1,2), (2,3), (3,4), (1,5)} a function?

Back

No, because the input '1' is associated with two different outputs (2 and 5).

Front

If f(x) = 2x + 1, find the value of x when f(x) = 19.

Back

19 = 2x + 1; 18 = 2x; x = 9.

Front

What is the vertical line test?

Back

A method to determine if a graph represents a function; if a vertical line intersects the graph at more than one point, it is not a function.

Front

Is (-2,4) a solution to the equation y = 2x + 8?

Back

Yes, because when x = -2, y = 2(-2) + 8 = 4.

Front

What does it mean for a graph to represent a function?

Back

Each input (x-value) must correspond to exactly one output (y-value).

Front

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

Back

f(3) = 3^2 = 9.

Front

What is the definition of a linear function?

Back

A function that graphs to a straight line, typically in the form f(x) = mx + b.

Front

If f(x) = 3x - 5, what is f(0)?

Back

f(0) = 3(0) - 5 = -5.