Exponential+Functions-Target+B-Comparing+Graphs-Quick+Check+Solutions

1) Since //k//(//x//) has an “//a//” value of 5, that means the //y//-intercept of the function is located at (0, 5). So //k//(//x//) would be vertically stretched in comparison to //h//(//x//).

2) To determine which function would grow more quickly you need to compare the “//b//” values, or growth factors, for each function. The “//b//” value of //h//(//x//) is 6 and the “//b//” value of //k//(//x//) is 4. Since the //b// value of //h//(//x//) is greater than //k//(//x//), //h//(//x//) would grow more quickly.

3) In order for the function to represent exponential decay, the “//b//” value must be between 0 and 1. In order for the function to be stretched, the “//a//” value would need to be greater than 1. One possible example would be //y// = 3 ∙ (1/4)// x //

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