Solve 16^z+2 *64^z-2
1 answer:
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Answer:
The point (0, 1) represents the y-intercept.
Hence, the y-intercept (0, 1) is on the same line.
Step-by-step explanation:
We know that the slope-intercept form of the line equation
y = mx+b
where
- m is the slope
- b is the y-intercept
Given
- The point (-6, -3)
- The slope m = 2/3
Using the point-slope form
where
- m is the slope of the line
- (x₁, y₁) is the point
In our case:
- m = 2/3
- (x₁, y₁) = (-6, -3)
substituting the values m = 2/3 and the point (-6, -3) in the point-slope form
Subtract 3 from both sides
comparing with the slope-intercept form y=mx+b
Here the slope = m = 2/3
Y-intercept b = 1
We know that the value of y-intercept can be determined by setting x = 0, and determining the corresponding value of y.
Given the line
at x = 0, y = 1
Thus, the point (0, 1) represents the y-intercept.
Hence, the y-intercept (0, 1) is on the same line.
Answer:
The domain of f(x) is {x : x ∈ R} and the range is {y : y ≥ -8}
Step-by-step explanation:
- The domain of the function is the values of x which make the
function defined
- The rang is the corresponding values of y with the domain
- The parent function of f(x) is g(x) = IxI
- The graph of this function represented by 2 lines starting from
the origin, one of them with positive slope and the other with negative
slope and both of them over the x-axis
- The Domain of g(x) is {x : x ∈ R} where R is the set of real numbers
- That mean the domain of g(x) is all real numbers
- The range of g(x) is {y : y ≥ 0}
- That mean the range is all real numbers greater than or equal to zero
- f(x) is the image of g(x) after some transformations
- g(x) multiplied by 2 that mean vertical stretch.
- Then x add by 2 that mean horizontal translation to the left by 2 units
- Then subtract 8 from it means vertical translation down by 8 units
- The figure of f(x) is the same lines but stretched vertically away from
x-axis and moved to the left 2 units and down 8 units
- That means the image of the origin is (-2 , -8)
- So the domain does not change it is the all real numbers
- The domain of f(x) is {x : x ∈ R}
- But the range changes is because the graph of the function starts
from -8 not from 0
- Then the range of f(x) is {y : y ≥ -8}
* The domain of f(x) is {x : x ∈ R} and the range is {y : y ≥ -8}
- <em>Look to the attached graph for more understand</em>
