What’s the equation that has m incorporated?
Answer:
y = 2(x +1)(x -4)
Step-by-step explanation:
The intercepts are at grid points, so it is easiest to make use of those. For an x-intercept of "a", one of the factors of the function is (x -a). Here, the x-intercepts are -1 and +4, so the function has factors (x +1)(x -4).
When x=0, the product of these factors is (1)(-4) = -4, so there is a vertical scale factor of 2 to make the y-intercept be -8. The function can be written as ...
y = 2(x +1)(x -4)
Answer:
f(x) = 2·3^x
Step-by-step explanation:
We have the general equation of exponential functions as
y= a*b^x
We are given that the point (0,2) is on the graph so
when x= 0, y= 2
If we substitute in the general equation we see that
2 = a*b^0, any number to the power 0 is 1
2 = a
We were also given that point (1, 6 ) is on the graph;
If we substitute in our new found equation we see that
y=2·b^x
6 = 2·b^1 , any number to the power 1 is itself and
divide both sides by 2
3 = b
f(x) = 2·3^x
Answer:
f(8)=-2
Step-by-step explanation:
Let
x ----> the independent variable or input value
f(x) ---> the dependent variable or output value
we know that
f(8) ----> Is the value of the function f(x) when the value of x is equal to 8
<u><em>Verify each case</em></u>
1) (8,-2)
That means
For x=8
The value of the function is equal to -2
so
f(8)=-2
2) (-5,8)
That means
For x=-5
The value of the function is equal to 8
so
f(-5)=8
3) (5,3)
That means
For x=5
The value of the function is equal to 3
so
f(5)=3