Answer:
B) The maximum y-value of f(x) approaches 2
C) g(x) has the largest possible y-value
Step-by-step explanation:
f(x)=-5^x+2
f(x) is an exponential function.
Lim x→∞ f(x) = Lim x→∞ (-5^x+2) = -5^(∞)+2 = -∞+2→ Lim x→∞ f(x) = -∞
Lim x→ -∞ f(x) = Lim x→ -∞ (-5^x+2) = -5^(-∞)+2 = -1/5^∞+2 = -1/∞+2 = 0+2→
Lim x→ -∞ f(x) = 2
Then the maximun y-value of f(x) approaches 2
g(x)=-5x^2+2
g(x) is a quadratic function. The graph is a parabola
g(x)=ax^2+bx+c
a=-5<0, the parabola opens downward and has a maximum value at
x=-b/(2a)
b=0
c=2
x=-0/2(-5)
x=0/10
x=0
The maximum value is at x=0:
g(0)=-5(0)^2+2=-5(0)+2=0+2→g(0)=2
The maximum value of g(x) is 2
Step-by-step explanation:
6-2x=6x-10x+8
6-2x=-4x+8
6-8=-4x+2x
-2=-2x
X=-2/-2
X=1
PLS MARK ME AS THE BRAINLIEST
Answer:
b=30
Step-by-step explanation:
it hits the y axis at 30.
Answer:
All real numbers
Step-by-step explanation:
Assuming the polynomial is
Then the domain is all real numbers.
The domain are all values of x, for which the given function is defined.
The reason is that, polynomials are defined everywhere on the real number line.
We can write this as {x|x is all real numbers} .
Or (-∞,+∞)
Height is 15 feet
It rebounds 85% of its original height
.85*15=12.75 feet on 1st bounce
12.75*.85=10.8375 feet on the 2nd bounce
10.8375*.85=9.211875 feet on 3rd bounce
So your answer is 9.2 feet high
Hope this helps!
