Answer: The answer is (b) A constant with an exponent on it.
Step-by-step explanation: We are to select the correct statement from the given options that represents a characteristic of an exponential function.
We know that an exponential function is a function of the form
where b ≠ 0.
Here 'b' is a constant and the variable 'x' is called an exponent. Also, if b > 0, then the function shows an exponential growth and if b < 0, then the function shows an exponential decay.
Thus, an exponential function involves a constant with an exponent on it.
Thus, (b) is the correct option.
Answer: D) reflection across y = -x
Explanation:
When we reflect over y = x, we basically swap x and y. So for instance, the point (3,1) becomes (1,3).
When reflecting over y = -x, we will do the same thing but we'll make each coordinate swap in sign from positive to negative (or vice versa). The rule for reflecting over y = -x is
So if we apply that rule to point A(3,1) then it becomes A ' (-1, -3).
Similarly, B(1,5) moves to B ' (-5, -1)
Finally, C(6,9) becomes C ' (-9, -6)