The table shows three unique functions.
1 answer:
Answer:
<h2>All three functions have a y-intercept.</h2>Step-by-step explanation:
The table is attached, there you can observe functions f(x), g(x) and h(x).
Remember, when x = 0, it represents a y-intercept. So, we can deduct that all three functions have y-intercept, (0,1) for f(x), (0, -1/2) for g(x) and (0,-5) for h(x).
Also, x-values represent domain values, however, in this case, we can't say that all three function have the same domain values, because we don't know the domain defintion for each of them to determine such thing.
Additionally, in the table you can observe that f(x) has the greatest maxium, so the second choice is also false. And neither function has x-intercept.
Therefore, the only right answer is the third choice.
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Since x² and 25 are the squares of x and 5 respectively, the best technique is A. difference of two squares.
ANSWER
1. A
2. C
3. D
4. B
5. E
EXPLANATION
QUESTION A
The given system of equation is :
and
Make x the subject in equation (1)
This implies that;
Put equation(3) into equation (2).
Group like terms;
Put y=0 into equation(3).
(-8,0)
QUESTION B
First equation:
Second equation:
Subtract the first equation from the second equation.
Simplify;
Put x=1 into any of the equations, say the first one.
(1,3)
QUESTION C
First equation:
Second equation:
Make y the subject in the first equation;
Put y=-x-4 into the second equation;
Expand:
Group like terms:
Put x=-2 into
This implies that;
(-2,-2)
QUESTION D
First equation:4x+6y=-12
Second equation: 2x+3y=9
Divide the first equation by 2;
New equation: 2x+3y=-6
Subtract the second equation from the new equation;
. This statement is not true.
The system has no solution;
QUESTION E
First equation:
Second equation:
Divide the second equation by 4;
New equation:
Subtract the second equation from the new equation;
This statement is true.
This system has infinitely many solutions.
It's a linear function. We need only two points to the plotting of the graph.
