mgreenamb
09.10.2019 •
Mathematics
The range of f(x) = 5 • 2x is all positive real numbers.
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Ответ:
True.
Step-by-step explanation:
if the function is:
F(x) = 5*2^x
when x is positive we have positive powers of 2, this is always growing, so we will have always positive results.
in the other hand, if x is negative, suppose x = -3, we will have:
F(-3) = 5*2^(-3) = 5(1/2^3)
is still positive, and for every value of x, we always will have that F(x) is positive, so the range is 0 < y < infinity
the range is all the positive real numbers.
Ответ:
gradient = - , y- intercept = (0, 3 )
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the gradient and c the y- intercept )
Given
3x + 2y = 6 ( subtract 3x from both sides )
2y = - 3x + 6 ( divide terms by 2 )
y = - x + 3 ← in slope- intercept form
with gradient m = - and y- intercept c = 3 ⇒ (0, 3 )