Question

Graph A represents the exponential equation y=4(6)^x and graph B represents y=6(4)^x. Which statements are true about graph A and graph B? Select all that apply.•The y intercepts of both graphs are the same•The y intercept of graph B is greater than y intercept of graph A•Graph A rises faster than graph B•Both graphs rise at the same rate•The y intercept of graph A is greater than the y intercept of graph B•Graph B rises faster than graph A

Answer 1

`\begin{gathered} y=4(6)^x \\ \\ y=6(4)^x \end{gathered}`

In a exponential function:

`y=a\cdot b^x`

As any number powered to o is equal to 1:

`n^0=1`

The y-intercept in exponential functions is a coordinates (0,a).

b represents the exponential growth or decay :

If 0

If b> 1 the function represnet a exponential growth

Exponential part (x in this case) represents how fast the function increase or decrease

For the given graphs:y intercpets: A (0,4) and B (0,6) Y intercept of graph B is greather than y intercept in graph AAs both functions have the same exponential part (x). Both graphs rise at the same rate

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