Question

STEP 2: What kind of function does the graph represent?

(linear, quadratic, exponential, none of these)

Answer 1

I don't see the graph — could you upload the image or describe it (a few points or the shape)?

Meanwhile, here are quick rules you can use to decide:

- Linear: the graph is a straight line. Slope (change in y divided by change in x) is constant. For equally spaced x-values the first differences (y2−y1, y3−y2, ...) are equal.

- Quadratic: the graph is a parabola (U-shaped or inverted U). It is symmetric about a vertical line (the axis of symmetry). For equally spaced x-values the second differences (differences of the first differences) are constant.

- Exponential: the graph is curved and changes multiplicatively (y values grow or decay by a constant factor). For equally spaced x-values the ratios y2/y1, y3/y2, ... are (approximately) constant. Exponentials often have a horizontal asymptote.

- None of these: the graph could be piecewise, cubic (S-shaped), absolute value (V-shaped), sinusoidal, stepwise, etc.

If you give the graph or a few sample points from it, I’ll identify which type it is.