Graph the equation f(x)= 4(x)+5
2 answers:
Answer:
Graph is a straight line.
Step-by-step explanation:
We have given a function.
f(x) = 4x+5
We have to graph the function.
Sicce, f(x) = mx+c is equation of line where m is slope and c is y-intercept.
comparing given equation with equation of line, we have
m = 4 and c = 5.
putting f(x) = in given equation,we have
0 = 4x+5
x = -5/4 hence x-intercept = -5/4 = 1.25
Dram graph and point out the y-intercept and x-intercept.
Graph is attached.Graph is a straight line.
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The sign of the leading coefficient can be found using the graph of a polynomial function.
<h3>What is polynomial?</h3>Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.
We have given the graph of polynomial functions:
In the first graph:
The leading coefficient is positive.
x → ∞, f(x) → ∞
x → -∞, f(x) → -∞
Degree of a function = 3
In the second graph:
The leading coefficient is negative.
x → ∞, f(x) → -∞
x → -∞, f(x) → -∞
Degree of a function = 4
In the third graph:
The leading coefficient is positive.
x → ∞, f(x) → ∞
x → -∞, f(x) → ∞
Degree of a function = 4
In the fourth graph:
The leading coefficient is negative.
x → ∞, f(x) → -∞
x → -∞, f(x) → ∞
Degree of a function = 3
Thus, the sign of the leading coefficient can be found using the graph of a polynomial function.
Learn more about Polynomial here:
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