MATH 112 Precalculus – Functions (Fill in the Blank Practice)

A set of fill-in-the-blank flashcards covering key concepts and specific answers from the notes on functions, domains, ranges, and slopes.

From the given table, f(x) = 1 occurs at x = __.

-3, 0

From the table, f(x) = 5 occurs at x = __.

There is no value of x where f(x) = 5.

Value of f when x = 0 is __.

1

For which x values is f(x) ≤ 0? x = __.

-2, -1, 1, 3

The first table in Problem 2 is a function because __.

no x value is repeated

The second table in Problem 2 is not a function because __.

x = 1 maps to y values -3 and 9

The third table in Problem 2 is a function because __.

no x value is repeated

Is Graph 1 a function of x? __

Yes

Is Graph 2 a function of x? __

Yes

To make a relation a function by removing points, the two points to remove are __.

Q and R

Does the equation 2|x| + y = 4 define y as a function of x? __

Yes

Does the equation x^2 + 2y = 7 define y as a function of x? __

Yes

Does the equation 2x = y^2 define y as a function of x? __

No

Does the equation x^2 + (y − 2)^2 = 16 define y as a function of x? __

No

Problem 15(a) domain is __.

{-2, 10}

Problem 15(a) range is __.

{0, 3}

Problem 15(b) is the relation a function? __

No

Problem 15(c) domain is __.

{-8, -6, 1, 7}

Problem 15(c) range is __.

{2, 3, 6}

Problem 15(d) domain is __.

{-10, -9, -3}

Problem 15(d) range is __.

{0, 1, 2, 5, 7}

In Graph 1, the relation is a function? __

No

In Graph 2, the relation is a function? __

Yes

The slope of the line through (0,0) and (4,1) is __.

1/4

The slope of the line given by 10x − 9y = −8 is __.

10/9

The slope of the line through (2,3) and (3,6) is __.

3

From 8x = 5 − 4y, solve for y in terms of x: y = __.

-2x + 5/4