What is the solution to this equation?
2 answers:
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QUESTION 1
a) The zeros of the function are the x-values at which the graph touches the x-axis.
From the graph, the zeros are;
b) The axis of symmetry is the vertical line that goes through the vertex of the parabola.
c) The maximum value is the y-value of the vertex.
Max: y=4
d) The vertex is the maximum point on the graph.
Vertex: (-2,4).
QUESTION 2
a) The graph touches the x-axis at only one point.
From the graph, the zero is
b) The axis of symmetry is the vertical line that goes through the vertex of the parabola.
c) The minimum value is the y-value of the vertex.
Min: y=0
d) The vertex is the minimum point on the graph.
Vertex: (-2,0).
QUESTION 3
a) The graph touches the x-axis at two points.
From the graph, the zeros are
b) The axis of symmetry is the vertical line that goes through the vertex of the parabola.
c) The minimum value is the y-value of the vertex.
Min: y=-9
d) The vertex is the minimum point on the graph.
Vertex: (0,-9).
QUESTION 4
a) The zeros of the function are the x-values at which the graph touches the x-axis.
From the graph, the zeros are;
b) The axis of symmetry is the vertical line that goes through the vertex of the parabola.
c) The maximum value is the y-value of the vertex.
Max: y=1
d) The vertex is the maximum point on the graph.
Vertex: (-4,1).
QUESTION 5
a) The graph touches the x-axis at two points.
From the graph, the zeros are
b) The axis of symmetry is the vertical line that goes through the vertex of the parabola.
c) The minimum value is the y-value of the vertex.
Min: y=-4
d) The vertex is the minimum point on the graph.
Vertex: (5,-4).
QUESTION 6
a) The graph does not touch the x-axis.
The function has no real zeros.
b) The axis of symmetry is the vertical line that goes through the vertex of the parabola.
c) The minimum value is the y-value of the vertex.
Min: y=5
d) The vertex is the minimum point on the graph.
Vertex: (2,5).
QUESTION 7
a) The graph touches the x-axis two points.
The function has zeros at x=1 and x=5
b) The axis of symmetry is the vertical line that goes through the vertex of the parabola.
c) The minimum value is the y-value of the vertex.
Min: y=-4
d) The vertex is the minimum point on the graph.
Vertex: (3,-4).
QUESTION 8
a) The zeros of the function are the x-values at which the graph touches the x-axis.
From the graph, the zeros are;
b) The axis of symmetry is the vertical line that goes through the vertex of the parabola.
c) The maximum value is the y-value of the vertex.
Max: y=1
d) The vertex is the maximum point on the graph.
Vertex: (-1,1).
QUESTION 9
a) The graph touches the x-axis at only one point.
From the graph, the zero is
b) The axis of symmetry is the vertical line that goes through the vertex of the parabola.
c) The minimum value is the y-value of the vertex.
Min: y=0
d) The vertex is the minimum point on the graph.
Vertex: (5,0).
a) The zeros of the function are the x-values at which the graph touches the x-axis.
From the graph, the zeros are;
b) The axis of symmetry is the vertical line that goes through the vertex of the parabola.
c) The maximum value is the y-value of the vertex.
Max: y=4
d) The vertex is the maximum point on the graph.
Vertex: (-2,4).
QUESTION 2
a) The graph touches the x-axis at only one point.
From the graph, the zero is
b) The axis of symmetry is the vertical line that goes through the vertex of the parabola.
c) The minimum value is the y-value of the vertex.
Min: y=0
d) The vertex is the minimum point on the graph.
Vertex: (-2,0).
QUESTION 3
a) The graph touches the x-axis at two points.
From the graph, the zeros are
b) The axis of symmetry is the vertical line that goes through the vertex of the parabola.
c) The minimum value is the y-value of the vertex.
Min: y=-9
d) The vertex is the minimum point on the graph.
Vertex: (0,-9).
QUESTION 4
a) The zeros of the function are the x-values at which the graph touches the x-axis.
From the graph, the zeros are;
b) The axis of symmetry is the vertical line that goes through the vertex of the parabola.
c) The maximum value is the y-value of the vertex.
Max: y=1
d) The vertex is the maximum point on the graph.
Vertex: (-4,1).
QUESTION 5
a) The graph touches the x-axis at two points.
From the graph, the zeros are
b) The axis of symmetry is the vertical line that goes through the vertex of the parabola.
c) The minimum value is the y-value of the vertex.
Min: y=-4
d) The vertex is the minimum point on the graph.
Vertex: (5,-4).
QUESTION 6
a) The graph does not touch the x-axis.
The function has no real zeros.
b) The axis of symmetry is the vertical line that goes through the vertex of the parabola.
c) The minimum value is the y-value of the vertex.
Min: y=5
d) The vertex is the minimum point on the graph.
Vertex: (2,5).
QUESTION 7
a) The graph touches the x-axis two points.
The function has zeros at x=1 and x=5
b) The axis of symmetry is the vertical line that goes through the vertex of the parabola.
c) The minimum value is the y-value of the vertex.
Min: y=-4
d) The vertex is the minimum point on the graph.
Vertex: (3,-4).
QUESTION 8
a) The zeros of the function are the x-values at which the graph touches the x-axis.
From the graph, the zeros are;
b) The axis of symmetry is the vertical line that goes through the vertex of the parabola.
c) The maximum value is the y-value of the vertex.
Max: y=1
d) The vertex is the maximum point on the graph.
Vertex: (-1,1).
QUESTION 9
a) The graph touches the x-axis at only one point.
From the graph, the zero is
b) The axis of symmetry is the vertical line that goes through the vertex of the parabola.
c) The minimum value is the y-value of the vertex.
Min: y=0
d) The vertex is the minimum point on the graph.
Vertex: (5,0).
The correct answer is option D which is 0.798
The complete question is given below:-
For an exponential regression equation in the form y=ab^x which of the following values of b will cause y to get smaller as x gets larger?
a.) 1.526
b.) 1.798
c.) 2.526
d.) 0.798
<h3>What is an equation?</h3>It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
Since we know that an exponential function is in the form:y= ab where,
a= Initial value,
b = For growth b is in form (1+r), where r is the rate in decimal form.
b = For decay or regression b is less than 1 and in form (1-r), where r is the rate in decimal form.
Upon looking at our given choices we can see that options a, b and c are in form 1+r, while the choice provided in option d is less than 1 and in form 1-r, therefore, option d is the correct choice.
Therefore the correct answer is option D which is 0.798
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