For Exercises 1-6, choose the correct letter. When graphed, which function will not have an x -intercept? F. y = 2 x + 3 G. y = 2 x 3 H. y = 3 x 2 I. y = 3 ⋅ 2 x
For Exercises 1-6, choose the correct letter. When graphed, which function will not have an x -intercept? F. y = 2 x + 3 G. y = 2 x 3 H. y = 3 x 2 I. y = 3 ⋅ 2 x
When graphed, which function will not have an
x
-intercept?
F.
y
=
2
x
+
3
G.
y
=
2
x
3
H.
y
=
3
x
2
I.
y
=
3
⋅
2
x
Expert Solution & Answer
To determine
The function out of four given functions, which do not have x -intercept.
Answer to Problem 4STP
The option I is correct.
Explanation of Solution
Given information:
The given functions are
F. y=2x+3G. y=2x3H. y=3x2
I. y=3⋅2x
Concept used:
The graph is drawn using graphing calculator.
The graphs of functions y=2x+3 , y=2x3 , y=3x2 , and y=3⋅2x is shown in Figure here:
Thus, graph of given function y=3⋅2x that represents an increasing exponential function never intersects x -axis, i.e., the function y=3⋅2x do not have x -intercept.
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