How do you tell if an equation is a function
2 answers:
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Answer:
{y|y≥0}
Step-by-step explanation:
The parent absolute value function is
This is a V-shaped function whose vertex is at the origin.
This means that, the least y-value is 0 and there is no highest y-value.
The range refers to all y-values for which the function exists.
Therefore the range is
Or
{y|y≥0}
Answer:
1) g(x) ----> y-intercept -3
2) h(x) ----> y-intercept -1
3) f(x) ----> y-intercept 2
Step-by-step explanation:
we know that
The y-intercept or initial value, is the value of y when the value of x is equal to zero
Calculate the y-intercept of each exponential function
case 1) A function g, has a growth factor of 2 and a value of 1, and passes through the point (1,-2)
The exponential function is equal to
Find the value of c
For x=1, g(x)=-2
substitute
so
Find the y-intercept
For x=0
case 2) Observing the table
For x=0
f(0)=2
therefore
The y-intercept of f(x) is 2
case 3) Observing the graph
For x=0
h(0)=-1
therefore
The y-intercept of h(x) is -1
Order the functions from least to greatest y-intercept
1) g(x) ----> y-intercept -3
2) h(x) ----> y-intercept -1
3) f(x) ----> y-intercept 2
