Question

PLEASE HELP ASAP NEED TO GET GRADE UP AND I NEED ANSWERS!!!!

What is the value of f(-4)?

f:x>3-x ( Thats an arrow not a greater then sign)

A.) 3
B.) 7
C.) -4
D.) -1

what is the range of the function shown in the graph? ( The vertex is at (0,-1) and it is arcing down)

A.) {yly ≤0}
B.) {yly ≤-1}
C.) {yly ≥ -1}
D.) {yly ≥ 0}

Answer 1

B and B

f(x) → 3 - x

to evaluate f(- 4 ) substitute x = - 4 into f(x)

f(- 4 ) = 3 - (- 4 ) = 3 + 4 = 7 → B

the range of a function are the values of y for the function

this function ( probably quadratic ) has a vertex at (0, - 1), that is the y-value is - 1

Since the function opens down then the values of y are tending to negative infinity

so the range of values for y are less than or equal to - 1 to negative infinity

y ≤ - 1 → B

Answer 2

1. B) 7

2. B) y ≤ -1

Explanation:

1. Put -4 where x is in the function definition and do the arithmetic.

... 3 - (-4) = 3 +4 = 7

2. If the maximum function value is -1 and the values extend to -∞ from there, then the range is (-∞, -1]. In your notation, that is ...

... y ≤ -1