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kenny6666 [7]
3 years ago
5

What's the range of the function shown below ? Thanks

Mathematics
1 answer:
Artemon [7]3 years ago
5 0
Y>0 because raising a number to a negative power doesn't make it negative
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What can you say about the y-values of the two functions f(x)=-5^x +2 and g(x)=-5x^2+2?
Kryger [21]

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

7 0
3 years ago
If I cut a piece that was 5 centimeters wide and had an area of 20 centimeters. How long was the piece?
Soloha48 [4]
Area= Length x width
So....
Length= Area divided by width.
Plug in equation
20 divided by 5= L
L= 4
Answer is 4 cm
6 0
3 years ago
Read 2 more answers
Geometry! Easy! Full points! One question!
Anon25 [30]

Answer: 144 inches squared

Step-by-step explanation:

10x12=120

6x8x0.5=24

120+24=144

5 0
3 years ago
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How do i rearrange the formula <br><br> w = x^2 - 2yz<br><br> to make y the subject?
iogann1982 [59]
Solve for y by simplifying both sides of the equation, then isolating the variable.
y = x^2/2^z - w/2z
7 0
3 years ago
Brad's dinner bill, including a 16% tip, is $10.44.
Gnoma [55]

Answer:

<h2>£8.77</h2>

Step-by-step explanation:

100 - 16 = 84

84 / 100 = 0.84

10.44 x 0.84

=8.77

4 0
2 years ago
Read 2 more answers
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