80 points for right answer! 4 questions! math only

question 1 (multiple choice worth 4 points)

(07.05a)

which of the following has a graph that is a straight line?

equation 1: y = 5x2 + 41

equation 2: y = 14x5 − 4

equation 3: y = 12x + 17

equation 4: y4 = 2x − 1

which of the following ordered pairs could be placed in the table and still have the relation qualify as a linear function?

input
(x)

output
(y)

−1 4
0 7
1 10
? ?

(2, 7)

(2, 13)

(1, 7)

(−1, 13)

which statement best explains whether the table represents a linear or nonlinear function?

input
(x)

output
(y)

−2 7
−5 4
−8 1
−11 −2

it is a linear function because there is a constant rate of change in both the input and output values.

it is a nonlinear function because there is a constant rate of change in both the input and output values.

it is a linear function because the input values are decreasing.

it is a nonlinear function because the input values are increasing.

which statement best explains whether y = 3x + 5 is a linear function or a nonlinear function?

it is a linear function because its graph contains the points (0, 0), (1, 0), (2, 8), which are on a straight line.

it is a linear function because its graph contains the points (0, 0), (1, 0), (2, 4), which are not on a straight line.

it is a nonlinear function because its graph contains the points (0, 5), (1, 8), (2, 11), which are on a straight line.

it is a linear function because its graph contains the points (0, 5), (1, 8), (2, 11), which are on a straight line.