Question

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match each function with the description of its graph.
y-intercept at (0,5)
graph initially decreases rapidly and then decreases slowly
y-intercept at (0,1)
graph initially increases slowly and then increases rapidly
y-intercept at (0,1)
graph initially increases rapidly and then increases slowly
y-intercept at (0,1)
graph initially decreases rapidly and then decreases slowly
y-intercept at (0,5)
graph initially increases slowly and then increases rapidly

Answer 1

Answer:

  see below

Step-by-step explanation:

An exponential term with a base greater than 1 will increase at an increasing rate. If the base is less than 1 (a fraction), then it will decrease at a decreasing rate.

Any (non-zero) base to the 0 power will have a value of 1, so the function will have a y-intercept at (0, 1) if there is no multiplier (vertical scale factor) of the exponential factor. The y-intercept will be the value of the multiplier.

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$g(x)=\left(\dfrac{2}{5}\right)^x$

y-intercept at (0,1)

graph initially decreases rapidly and then decreases slowly

__

$d(x)=5\left(\dfrac{1}{3}\right)^x$

y-intercept at (0,5)

graph initially decreases rapidly and then decreases slowly

__

$h(x)=4^x$

y-intercept at (0,1)

graph initially increases slowly and then increases rapidly