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What is the range of y = 5(2)^x - 4?
Additional Details
12 minutes ago
is it:

*The set of positive real numbers greater than 0
*The set of positive real numbers greater than -4
*The set of positive real numbers greater than 1
*The set of positive real numbers greater than 4

2007-01-19 04:41:49 · 5 answers · asked by Asking Q 1 in Science & Mathematics Mathematics

5 answers

Without Calculus, it's all about recognition when it comes to the range of exponential functions.

Let f(x) = a * (b^x) + k

The range of an exponential function in this form would be
(k, infinity).

In our case, k = -4, so the range is
(-4, infinity)

i.e. the set of real numbers greater than -4.

2007-01-19 04:48:00 · answer #1 · answered by Puggy 7 · 0 0

Already answered this before. The function is asymptotic to the line y=-4. It equals 1 when x = 0 and the rapidly climbs to + infinity. So the range is all real values greater than -4.

-4

2007-01-19 12:58:26 · answer #2 · answered by ironduke8159 7 · 0 0

y = 5(2)^x -4

the above function is exponential function i.e. y = a* (b)^x + k its range is any set of positive real number there is no effect of shifting the function in either direction

2007-01-19 12:58:40 · answer #3 · answered by Laeeq 2 · 0 0

As you wrote the function it exists for every real number so the range is the set of all real numbers

2007-01-19 12:50:34 · answer #4 · answered by santmann2002 7 · 0 1

graph the equation on a calculator and it will tell you the range

2007-01-19 12:46:42 · answer #5 · answered by packattack 2 · 0 0

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