Question

________ point d on the graph. The image displays a straight line graphed on a Cartesian coordinate system with several points labeled: Point A is at approximately \((-2,-4)\). Point B is at approximately \((-1,-2)\). Point C is at \((0,0)\), the origin. Point D is at approximately \((1,2)\). Point E is at approximately \((2,4)\).

________ The graph passes through the point (0, 1). The base of the exponential function is 1/2, which is between 0 and 1, indicating exponential decay. The domain of the function is all real numbers, and the range is all positive real numbers (y > 0).


X-intercept, Y-intercept, Vertex form, Piecewise function, Standard form, Horizontal asymptote, Exponential function.

Answer 1

1) Fill-in: Point D is (1, 2).

2) Fill-in: Exponential function.

Additional identifications from the descriptions:
- The straight line through A, B, C, D, E has equation y = 2x (standard form: 2x − y = 0).
- X-intercept: (0, 0) (point C).
- Y-intercept: (0, 0) (point C).
- Vertex form: not applicable (vertex form is for quadratics).
- Piecewise function: not applicable here.

- The exponential graph described (base = 1/2, passes through (0,1)) is y = (1/2)^x.
- This is an exponential function (decay).
- Domain: all real numbers; Range: y > 0.
- Horizontal asymptote: y = 0.