I don't understand would this be a linear function,quadratic function,or exponential function
1 answer:
In the given figure there are 3 graphs
The line represents a linear function
The parabola represents a quadratic function
The third graph which approaches to the negative part o the x-xis is the exponential function
The x-intercept of the line is (-2, 0)
x-intercept means intersect the x-axis at point (-2, 0)
There is only one graph that intersects the x-axis at (-2, 0)
It is the line, the linear function h(x)
The range is between 0 to infinity (0, ∞)
The range is the values of y
There is only one graph that has all values of y over the x-xis
it is f(x) the exponential function
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The correct answer is C) t₁ = 375, 
.
From the general form,
, we must work backward to find t₁.
The general form is derived from the explicit form, which is
. We can see that r = 5; 5 has the exponent, so that is what is multiplied by every time. This gives us
Using the products of exponents, we can "split up" the exponent:
We know that 5⁻¹ = 1/5, so this gives us
Comparing this to our general form, we see that
Multiplying by 5 on both sides, we get that
t₁ = 75*5 = 375
The recursive formula for a geometric sequence is given by
, while we must state what t₁ is; this gives us
From the general form,
The general form is derived from the explicit form, which is
Using the products of exponents, we can "split up" the exponent:
We know that 5⁻¹ = 1/5, so this gives us
Comparing this to our general form, we see that
Multiplying by 5 on both sides, we get that
t₁ = 75*5 = 375
The recursive formula for a geometric sequence is given by