Question

On a coordinate plane, 2 exponential functions are shown. f (x) approaches y = 0 in quadrant 2 and then increases into quadrant 1. It crosses the y-axis at (0, 0.5) and goes through (1, 1).

Which function represents g(x), a reflection of f(x) = On a coordinate plane, 2 exponential functions are shown. g (x) decreases in quadrant 2 and approaches y = 0 in quadrant 1. It goes through (negative 1, 1) and crosses the y - axis at (0, 0.5).(3)x across the y-axis?

g(x) = 2(3)x
g(x) = −One-half(3)x
g(x) = One-half(3)−x
g(x) = 2(3)−x

Answer 1

Answer: g(x) = Negative two-fifths(10)x

Explanation:

In order to reflect a function over the x-axis, you have to multiply the function by minus one.

Given the function:

f(x) = 2/5(10)^x

Its reflection over the x-axis is:

-f(x) = -2/5(10)^x = g(x)

Answer 2

• Answer: Which function represents g(x), a reflection of f(x) = On a coordinate plane, 2 exponential functions are shown. g (x) decreases in quadrant 2 and approaches y = 0 in quadrant 1. It goes through (negative 1, 1) and crosses the y - axis at (0, 0.5).(3)x across the y-axis? g(x) = 2(3)x
• g(x) = −One-half(3)x
• g(x) = One-half(3)−x
• g(x) = 2(3)−x <<<CORRECT

Explanation:

Edge 2021