Given four functions, which one will have the highest y-intercept?
1 answer:
<span>The y-intercept of a function is given by the initial value of a function. It is the value of the function when x = 0.
Given the functions
A. Blake is tracking his savings account with an interest rate of 5% and a original deposit of $6.
The y-intercept for this function is the initial deposit which is $6.
B.
x g(x)
0 6
1 2
2 10
The y-intersept for this function is 6 which isthe value of the function g(x) when x = 0.
C. The function h of x equals 4 to the x power, plus 3
When x = 0,
Thus the y-intecept is 4.
D. j(x) = 10(2)^x
when x = 0,
Thus, the y-intercept is 10.
Thereforen the function with the highest y-intercept is
which has a y-intercept of 10.
</span>
Given the functions
A. Blake is tracking his savings account with an interest rate of 5% and a original deposit of $6.
The y-intercept for this function is the initial deposit which is $6.
B.
x g(x)
0 6
1 2
2 10
The y-intersept for this function is 6 which isthe value of the function g(x) when x = 0.
C. The function h of x equals 4 to the x power, plus 3
When x = 0,
Thus the y-intecept is 4.
D. j(x) = 10(2)^x
when x = 0,
Thus, the y-intercept is 10.
Thereforen the function with the highest y-intercept is
</span>
You might be interested in
Answer:
- D. It is a many-to-one function
Step-by-step explanation:
- One-t<em>o-one if every y value has exactly one x value mapped onto it</em>
- <em>Many-to-one if there are y values that have more than one x value mapped onto them.</em>
We have a function that is of degree 3, so it has 3 x-intercepts which means there are points (x₁, 0), (x₂, 0), (x₃, 0), so it is a many-to-one function
Correct option is D
