Find the range of the function. ƒ(x) = −5x^2 + 9 a.) [9, ∞) b.) [9, ∞) c.) [−9, ∞) d.) (−∞, −9]

D.) (−∞, −9]

Step-by-step explanation:

Range represents the set of values which the given function \[-5x^{2}+9\]

can assume. The function is quadratic and the square terms can only assume positive values. But the sign of the square term is negative so the overall square term with sign can only assume negative values. Maximum negative value possible is - infinity. Square term has the highest value of 0. On this case the value of the function becomes 9. So the range of the function is  (−∞, −9].

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.

step-by-step explanation: yes