The given graph represents the function f(x) = 2(5)x. How will the appearance of the graph change if the a value in the function is decreased, but remains greater than 0?The graph will increase at a slower rate.The graph will show a decreasing, rather than increasing, function.The graph will show an initial value that is lower on the y-axis.The graph will increase at a constant additive rate, rather than a multiplicative rate.
Answer
A
The graph will increase at a slower rate.
B
The graph will show a decreasing, rather than increasing, function.
C
The graph will show an initial value that is lower on the y-axis.
D
The graph will increase at a constant additive rate, rather than a multiplicative rate.
Explanation
In f(x) = 2(5)^x, the a value is the coefficient 2, which sets the y-intercept because f(0) = 2. If this positive coefficient is decreased, then f(0) becomes lower, so the graph starts lower on the y-axis. The base 5 remains unchanged, so the graph still increases exponentially; its growth pattern does not change to a slower or additive rate.
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