Determine which function has the greater rate of change in problems 1−3.

A 2-dimensional graph of a straight line has points labeled A, B, C. The line intersects the vertical axis at point B and the horizontal axis at point A. Point A is at left-parenthesis negative 1 comma 0 right-parenthesis, point B is at left-parenthesis 0 comma 1 right-parenthesis, and point C is at left-parenthesis 1 comma 2 right-parenthesis. A table shows 2 columns titled x and y.
The first column has data negative 1, 0, 1, and 2.
The second column has data 0, 1, 2, and 3.
A. The rates of change are equal.
B. The graph has a greater rate of change.
C. The table has a greater rate of change.
D. none of the above
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B. The graph has a greater rate of change.

A 2-dimensional graph of a straight line having points labeled A, B,C, intersecting the vertical axis at point B and the horizontal axis at point A. Point A is at left-parenthesis negative 1 comma 0 right-parenthesis, point B is at left-parenthesis 0 comma 2 right-parenthesis, and point C is at left-parenthesis 1 comma 4 right-parenthesis.

As x increases by 1, y increases by 3.

A. The slopes are equal.
B. The graph has a greater slope.
C. The function rule has a greater slope.
D. none of the above

B. The graph has a greater slope.

What would the graph of y = x2 + 1 look like?

A. a straight line
B. a parabola
C. a dotted line
D. none of the above

B. a parabola.

Which of the following equations represent nonlinear functions?

A. y equals 5 minus StartFraction 2 over 3 EndFraction x
B. y equals 5 x squared plus 7
C. y equals 1.5 x minus 0.25
D. y = 3
E. y equals StartFraction 10 over x EndFraction plus 20

B. y equals 5 x squared plus 7 and E. y equals 10/x + 20 represent nonlinear functions.

Just b?

No, both B and E represent nonlinear functions.

What would the graph of y = three-fourthsx – seven-eighths look like?

A. a straight line
B. a parabola
C. a curve
D. none of the above