Question

Which is not one of the properties of an exponential function graph?<

A) In case a>0, when the value of x increases, the value of y also increases.
B) In case 0>a>1, when the value of x decreases, the value of y increases.
C) The graph will always pass the point (1, 0)
D) The graph will not intersect the X axis.

Answer 1

The properties of an exponential function graph include increasing or decreasing slopes, passing through the point (1, 0), and never intersecting the x-axis.

Step-by-step explanation:

The graph of an exponential function has several properties.

1. If a>0, when the value of x increases, the value of y also increases. This means that the graph will slope upward to the right.
2. If 0<a<1, when the value of x decreases, the value of y increases. This means that the graph will slope downward to the right.
3. The graph will always pass through the point (1, 0). This is because any exponential function can be written in the form y = ab^x where a and b are constants. When x = 1, b^1 = b, so the y-intercept is given by y = ab, which is the point (1, ab).
4. The graph of an exponential function will never intersect the x-axis. This is because an exponential function cannot have a zero or negative value for y.