The graph represents the function g(x). Suppose that f(x) = −x. Which is true when comparing the range of f(x) to g(x)?

A) The range for g(x) is y > 0, and the range for f(x) is all real numbers.
B) The range for both functions is all real numbers.
C) The range for both functions is y > 0.
D) The range for g(x) is all real numbers, and the range for f(x) is all positive real numbers.

A

Step-by-step explanation:

The range for g(x) is y > 0, and the range for f(x) is all real numbers.

The exponential function g(x) will approach the x-axis at zero, but it will never touch the axis. Therefore, y > 0. For the linear function, f(x) = −x, the range is all real numbers.

4y - 6 + y^2 - 9 = y^2 + 4y - 15

y^2 term

terms

- terms

total of 3 terms when simplified

step-by-step explanation:

graph #4 (last graph) depict the function   f(x)= -m(x-d)^1/5 i

step-by-step explanation:

we know that

m=slope

but in this function slope is -m that means slope is decreasing and it is decreasing by 1/5 points down the x-axis.

which is shown in graph four

a decreasing slope down x-axis by 1/5 points.

hence 4th graph is the right option for this.